Solve the exponential equation. Express the solution in terms of natural logarithms. Then, use a calculator to obtain a decimal approximation for the solution. e^x = 20.9 What is the solution in terms of natural logarithms? The solution set is

95,644 results
  1. ALGEBRA CHECK ANSWERS

    Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 a. +3 b. +1/3 c. 0

  2. Algebra II

    Use natural logarithms to solve the equation.Round to the nearest thousandth. 5e^2x+11=30 Can someone explain it to me? So far, I got. e^2x+11=6 2x+11=In 6

  3. Pre Calculus

    Assume that x, y, and a are positive numbers. Use the properties of logarithms to write the expression log a 9 xy in terms of the logarithms of x and y. a. 9logbx+9logby b. 19 l o g b ( x + y ) c. 19 l o g b x + l o g b y d. logbx+logby e. 19 l o g b x +

  4. algebra

    Solve the exponential equation. Express the solution in terms of natural logarithms. Then, use a calculator to obtain a decimal approximation for the solution. e^x = 20.9 What is the solution in terms of natural logarithms? The solution set is { }.

  5. Algebra

    Please express in terms of sums and differences in logarithms. log a x^3 y^2 z

  6. Substitution Method in Algebra!HELP PLZ!

    Use the Substitution method to solve the system of equations. 3x + y = 5 4x - 7y = -10 multiply first equation by 4 multiply second equation by 3 thus both equations have same x or y value in this case it is the x value. 12x + 4y = 20 12x - 21y = -30 solve

  7. Math

    Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 7^4x = 4.9

  8. exponential equation-Algebra

    Solve the exponential equation. Express the solution set in terms of natural logarithms. 4^(x + 4) = 5^(2x + 5)-This question I don't understand.

  9. Math

    Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution. log(7x + 4) = 2 + log(2x − 3) Solve the equation. log(x^3) = (log x)^2

  10. Pre-Calc

    Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression logb(4) sqrt((x^7 y^2)/(z^4)) in terms of the logarithms x, y, and z.

  11. calculus

    Use the first five terms of the exponential series and a calculator to approximate each value to the nearest hundredth. e^3.5 I honestly don't understand the concept or how to solve the problem. :(

  12. Logs.

    Can you please help me with the following log. problems? thanxs! Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 7^x = 6^(x + 7) this is how far I got: x log 7/x log 7=

  13. Physics

    The Circuit contains a resistor R1, Resistor with R2 and an inductance L in series with a battery of emf ε0=V0 . R2 having a switch in parallel, the switch S is initially closed. At t = 0, the switch S is opened, so that an additional very large

  14. Algebra/Precalculus

    Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x-3y+6z=6 x+2y-z=8 5x-8y+13z=4 I don't know what

  15. Algebra-please check my answers

    Solve the equation by expressing each side as a power of the same base and then equating exponents. 9^(x - 9)/8= sqrt of 9 i got 13 4^(x + 10) = 8^(x - 6) i got 38 Solve the exponential equation. Express the solution set in terms of natural logarithms.

  16. precalc

    2^(3x + 1) = 3^(x − 2) (a) Find the exact solution of the exponential equation in terms of logarithms.

  17. Math Algebra 2

    #4. Express the logarithm in terms of log2M and log2N: log2 1/MN #5. Simplify: log4 3 - log4 48 #6. Solve the equation: loga x = 3/2loga 9 + loga 2 #7. Solve the equation: logb (x2 + 7) = 2/3logb 64 #8. Solve the equation: loga (3x + 5) - loga (x - 5) =

  18. college algebra

    Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.) 4x − 3 = 32x x = _____

  19. precalculus

    solve exponential equation. express in exact form. e^x-42e^-x= -19

  20. math

    Hello, I am working on exponential equations of best fit. I have a table numbered from 1-7 with corresponding numbers. I put that into my calculator and came up with the exponential equation of best fit as y = 8.46(1.42)^x Now it wants to know how long it

  21. Algebra Help

    Express in terms of sums and differences of logarithms: log_a x^3 y^2 z

  22. pre-calculus

    solve the following logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression. give the exact answer. then, use the calculator to obtain a decimal appromiation, correct to two decimal places,

  23. math

    I don't understand logarithms. Is there a way to solve exponential equations without doing them? Ex, 10,000 = 394.970(1.259)^x How do I solve for the x?

  24. Math

    Exponetial Functions In the following exponential relations, solve for x using logarithms. Round your answers to 4 decimal places. a) 5^3x=65 b) 2^2x+3=80

  25. Math - Exponential equation

    Solve the exponential equation. Express your solutions in exact form only. Please show all of your work. 5e^(x log(9)) = 11

  26. Algebra 2

    Express log A in terms of the 2 logarithms of prime numbers: A= (sqrt(3)*sqrt4(125))/7^3

  27. Algebra

    Use the quadratic formula to solve the equation for x in terms of y and y in terms of x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 2x^2 + 7xy + 1 − y^2 = 0 y in terms of x y =

  28. math

    1. The table shows the number of wild strawberry plants in a particular forest t years after a forest fire. Use a graphing calculator to find the exponential function that best fits the set of data. Number of Wild Strawberry Plants years | wild strawberry

  29. algebra

    Solving exponential and logarithmic equation. An example of an exponential equation is: Solve for x: 5^x=125

  30. calculus

    solve the exponential equation. Express the solution in terms of natural logarithms. e^x=9.2 a. whats the solution in terms of natural logarithms? **is the answer e^9.2 or just e^9 b. type a decimal rounded to 3 decimal places.

  31. Math

    Do the following. (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log 8.6 (114) =_____ (b) Give a calculator approximation (correct to four decimal places). log 8.6 (114)~~_____

  32. Math Algebra 2

    How do I put log in a TI-84 calculator. #1.Express the logarithm in terms of log2M and log2N: log2(MN)4 #2. Express the logarithm in terms of log2M and log2N: log2 the cube root of M2N #3. Express the logarithm in terms of log2M and log2N: log2 (M/N)7 #4.

  33. Pre Calc

    Solve the following inequality in terms of natural logarithms (ln). (e^6x)+2 is less than or equal to 3.

  34. math

    solve for x without using a calculator 5^(x+1) = 25 i know that x would equal 1 because 5^2 is 25, but i don't know how to show how to solve it All you need to do is what you just did: Explain that if x = 1, the equation is satisfied. If you are looking

  35. Algebra II

    I need some help with some problems as well as need some checked. Could you please help me? Thanks! 1. How do you graph y=1/x 2. How do I the x and y intecepts using a graph? Solve and check the linear equation. 9. (-4x-2)+7=-3(x+3) I got 14 10.

  36. Algebra 2

    I need help with this problem because I do not have a graphing calculator. Explain how you would solve this equation using your graphing calculator in five steps then give the solution. 2x- 3y=8 5x+ 4y= 11

  37. calculus

    writing an exponential equation The function gives the value of a home in dollars in the year 1980 + t. Write an equation that can be used to determine the year in which the value of the home reached $100,000? Use ^ to denote an exponent. Do not solve the

  38. Math

    Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of In(x) in your answer.) log[8.4](112)=

  39. trigonometry

    Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" Also Give checks. I know the use of logarithms is unnecessary but i have to show my solution by using logarithms and that's the only

  40. college algebra

    I need to find out the solution in terms of natural logarithms for this 10^x=2.5

  41. Precalculus, algerbra 2, investment,

    A stuffed animal dealer tells you that a fish he bought for $8 four years ago is now worth $200 follow the steps below to find the effective yield for this investment. Begin with the equation 8(1+r) ^4=200.Solve for (1+r) ^4 Take the common logarithm of

  42. Math

    Solve the inequality and express the solution in terms of intervals: x-2/3x+5 ≤ 4 This is how I did it: x-2/3x+5 - 4(3x+5) ≤ 0 x-2-12x-20/3x+5 ≤ 0 -11(x+2)/3x+5 ≤ 0 Can you please tell me if the answer is right and if so then how do we express the

  43. Pre Cal long problem( Can I see the work on this)

    A stuffed animal dealer tells you that a fish he bought for $8 four years ago is now worth $200 follow the steps below to find the effective yield for this investment. Begin with the equation 8(1+r) ^4=200.Solve for (1+r) ^4 Take the common logarithm of

  44. Pre calculus

    Okay, I'm really fuzzy about my log and exponential chapter. For example, solving some exponential equation such as e^3x-7 x e^-2x=4e I assume I start this equation by taking the natural log of both sides, but how will I know just by looking at an equation

  45. Algebra III / Core II

    It has been since the beginning of last year since I last did this math and the teacher I currently have is a sub and doesn't know what the heck she's doing either - so if anyone can help me, that'd be oh so amazing! a. Solve d=rt in terms of d and t. b.

  46. Trigonometry (Logarthims)

    Give checks to the following two questions Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" without logarithms i can do this problem easily and i have. but when i try solving it with

  47. college algebra

    Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.) 4^(x − 3) = 3^(2x) x = _____

  48. trigonometry

    okay so i have this trigonometry problem were i HAVE to use logarithms. Now this is my work but can u help me solve it using logarithms. Find the area of the following triangles:(use logarithms) 1) c=426, A=45degrees 48' 36",and B=61degrees 2' 13"

  49. calculus

    Having a really hard time with this! e^8x^2-5 = 14 solve the exponential equation express in exact form. Someone please help!

  50. math

    Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). log_(9) \(77\) =

  51. pre calculus

    Solve the exponential equation Express you solutions in exact form only Please show your work e^2x - 9e^x - 20 = 2

  52. Math

    Exponetial Functions In the following exponential relations, solve for x using logarithms. Round your answers to 4 decimal places. a) 5^3x=65 b) 2^2x+3=80

  53. Math - 2

    Solve the exponential equation. Express your solutions in exact form only. Please show all of your work. (e^(2x) – 10e^x) / 13 = 3

  54. precalculus

    Find the exact solution and estimated solution to the equation using natural logarithms. If there is no solution, enter DNE in all capital letters. If there is just one solution, enter DNE in all capital letters in one of the answer boxes. Round the

  55. Math

    I need help on how to solve this type of problem please. 29.)Solve the inequality and express the solution in terms of intervals whenever possible. 1/(x-2) ≥ 3/(x+1) THE ANSWER IS: ( -∞,-1 ) U ( 2,(7/2) ]

  56. Algebra

    Solve the exponential equation using an algebraic solution: 2^x = 32

  57. college algebra

    1. find the equation of the line with the given properties. Express the equation in general form or slope-intercept form. perpendicular to the line -3x_y= -27; contains the point (9, -1) the equation of the line is ? 2. solve the polynomial inequality and

  58. Engineering

    I need help solving the following simultaneous equations, for the values of Vo and a: 1.4 = Vo e^-32a 4 = Vo e^-6a I've never come across simultaneous equations like this (e is the base of natural logarithms, so perhaps taking logs of both sides might

  59. Algebra Multiple Choice

    Hello, This is the last of questions I have for my practice assignment. Again I will put what I got. Thanks for your help. 1.) Solve the system using substitution. Write answer as an ordered pair. 4x+2y=8 -5x-2=y A.) First equation (-2,8) B.) Second

  60. college algebra

    solve the following exponential equation. 7^x=8 a. x= Write in exact solution b. then with that answer move the decimal 3 points over

  61. pre-calculus

    solve the exponential equation. express the solution in terms of natural logarithims. Then, use a calculator to obtain a decimal point approximation for the solution. e^x=12.3 What is the solution in terms of natural logarithims? The solution set is ?

  62. math: pre-calculus

    Solve the equation. First express your answer in terms of natural logarithms (for instance, z=(2+ln5)/ln3). Then use a calculator to find an approximation for the answer. 3^x+9=2^x.

  63. ALGEBRA

    (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_(8.5) \(127\) = Give a calculator approximation (correct to four decimal places). log_(8.5) \(127\) ~=

  64. Algebra 2

    Find the solution of the exponential form in terms of logarithms 2^(2x+13) = 3^(x-45)

  65. college algebra

    I need to find out the solution in terms of natural logarithms for this 10^x=2.5

  66. Logarithm help please

    Express y as a function of x. What is the domain? Explain your answer. log4y = x + log4 Solving exponential equations with logarithms Solve to the nearest thousandth. 5^1+x = 2^1-x

  67. Algebra 2

    How do you solve this exponential equation using logarithms? 2*5^x=85 Do you start like this? xlog2*5=log85 I don't know what to do after that.

  68. Precalculus

    10x^2=2^x Hi! How do I go about solving an equation like this? It's meant to be a calculator solution but I'd love to know how it's done by hand. Logarithms maybe? .. Thank you in advance (:

  69. ALGEBRA

    Solve the exponential equation. Give the exact value for x. (Express all logarithmic functions in terms of ln(x) in your answer.) text((a) ) e^x = 10 x = text((b) ) e^x = 2.0 x = text((c) ) e^x = 37.9 x =

  70. Factoring

    What does 3x^3-3x+2=0 come out to? How would I solve this? Is the x cubed supposed to be x squared? You can compare the equation with the identity: (a+b)^3 = a^3 + 3 a^2 b + 3 a b^2 + b^3 which you can rewrite as: (a + b)^3 = 3 ab (a + b) + a^3 + b^3 (1)

  71. pre-calculus

    solve the equation 1. In x + In (x+12) =2 x= ? or either there is no solution 2. solve the exponential equation 9^x=6 What is the exact answer? 3. Use transformations to indentify the graph of the function. Then determine its domain, range, and horizontal

  72. Math

    solve the exponential function for x by using common logarithms. 5^x=50^x+1

  73. math

    Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). = 1

  74. ALGEBRA

    Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). log_(7) \(80\)

  75. physics

    Black hole in X-Ray Binary. An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary following the

  76. college algebra

    Solve the exponential equation. Express your solutions in exact form only. Please show all of your work. 3^x-70*3^-x=9

  77. Math

    Use the quadratic formula to solve the equation for x in terms of y and y in terms of x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 2x^2 + 7xy + 1 − y^2 = 0 (a) x in terms of y x = (b) y in terms of x y =

  78. Math

    -x^3 + 1.85x^2 - x +0.15 = 0 how can you solve for x? An exact solution or a numerical solution? Exact solutions can be obtained as follows: x^3 - 1.85x^2 + x - 0.15 = 0 First get rid of the quadratic term by substituting: x = (y + 1.85/3) You then obtain

  79. precalculus

    solve the exponential equation express in exact form only show all work. 2e^x= squareroot 10e^x +3

  80. Math 2

    Last one I promise. I'm having trouble with these. Express in terms of logarithms of x, y, z, or w. ln 4th root (x^6/(y^2 z)) Write the expression as one logarithm. ln y^4 + (1/3) ln(x^9 y^9) − 7 ln y

  81. Algebra

    Solve the inequality and express the solution in terms of intervals whenever possible. | x+3 | < 0.01 I know the answer is : (-3.01,-2.99) Please show me how to solve this type of math problem.

  82. Pre-Calc

    Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression logb(4) sqrt((x^7 y^2)/(z^4)) in terms of the logarithms x, y, and z.

  83. physics

    Black hole in X-Ray Binary. (2.75/11.0 points) An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary

  84. Calculus

    Solve for x. Don't do the work using algebra and don't use a calculator. The Laws of Logarithms will be helpful. ln(x^2 - 1)= 3

  85. calculus

    solve the following exponential equation. 8^x=3 what is the exact answer? a. x= ? b. there is no solution what is the answer approximated to 3 decimal places? a. x= ? b. there is no solution

  86. Math/Calculus

    Please check my work and correct any errors/point out any errors. Thanks. Solve the initial-value problem using the method of undetermined coefficients. y''-4y=e^xcos(x), y(0)=1, y'(0)=2 r^2-4=0, r1=2, r2=-2 yc(x)=c1*e^2x+c2*e^-2x

  87. math

    The scientists Verhulst (1828) where is the natural growth rate of the population when resources are limited and is a positive constant called carrying capacity of the environment. (a) Using sign analysis, find all constant solution and discuss the general

  88. Circuits and electronics applications3

    We are working on finding the particular solution for the first-order linear constant-coefficient ordinary differential equation: RCdvP(t)dt+vP(t)=Vicos⁡(ωt) The new idea is to find the particular solution for the related equation

  89. College Algebra

    4 + 5^6x = 8 (a) Find the exact solution of the exponential equation in terms of logarithms. x = (b) Use a calculator to find an approximation to the solution rounded to six decimal places. x = can any body help me out here please?

  90. ALGEBRA

    (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_(8.9) \(135\) = (b) Give a calculator approximation (correct to four decimal places). log_(8.9) \(135\) ~=

  91. College Algebra

    Problem: Use Common or Natural Logarithims to solve the exponential equations symboliclly. 2e^7x+4=4 (Round to four decimal places) I tried solving this way 2e/2^7x+4=4/2 e^7x+4=2 ln e^7x+4=ln 2 7x+4=ln 2 7x+4-4=ln 2-4 7x=ln 2-4 7x/7=ln 2-4/7 x=ln 2-4/7

  92. Math

    solve the exponential function for x using base 5 logarithms. 5^x+4=125^1-3x

  93. Physics

    An X-ray binary consists of 2 stars with masses m1 (the accreting compact object) and m2 (the donor). The orbits are circular with radii r1 and r2 centered on the center of mass. (a) Find the orbital period T of the binary following the guidelines given in

  94. Algebra help

    Express in terms of logarithms of a, b, and c: log(a^3b^2)/c How would I convert this?

  95. algebra

    Exponential functions and logarithms 1) ln(1/cuberoot e^2) 2)e^ln12 3)log3(root3)^5 4) 3^x-2=18 5)e^3x+=10 6)8^x=5^2x-1 I'm really not positive on how to solve these

  96. Pre Calculus

    Why can we use either common or natural logarithms to re-express data that fit a power regression model? Couldn't really figure out what the relationship was.

  97. physics

    Black hole in X-Ray Binary. (2.75/11.0 points) An X-ray binary consists of 2 stars with masses (the accreting compact object) and (the donor). The orbits are circular with radii and centered on the center of mass. (a) Find the orbital period of the binary

  98. Math

    Solve for t using natural logarithms. 7e^3t = 10e^2t

  99. Algebra 2

    I need help with this problem because I do not have a graphing calculator. Explain how you would solve this equation using your graphing calculator in five steps then give the solution. 2x- 3y=8 5x+ 4y= 11 Also how do you determine how many solutions a

  100. calculus

    Use the Intermediate Value Theorem to prove that the equation has a solution. Then use a graphing calculator or computer grapher to solve the equation. 2x^3-2x^2-2x+1=0 i am completely lost & have no idea where to start.

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