-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent? My answer: Let b=2, m=8, n=16 *log base b (mn)=log base b of m + log base b

50,142 results
  1. Logarithms

    CONDENSE INTO THE LOG OF A SINGLE QUANTITY: (1) Base 7 2/3 log( z - 2 ) (2) 2 ln8 + 5 ln( z - 4 ) (3) Base 4 1/2 [ log( x + 1 ) + 2 log( x - 1 ) ] + 6 logx

  2. math

    Given that 2 log base2 (x+15) - log base2 x = 6 1.Show that x^2 -34x +225 = 0 2. Hence or otherwise solve the equation 2 log base 2 (x+15) - log base 2 x =6

  3. Biochemistry

    Calculate how you would make 0.5L of a 0.5M (500mM) acetate buffer at a pH of 4.7. Available is sodium acetate and glacial acetic acid. pH=4.7 pKa of acetic acid=4.76 Not sure if I did this next part right: 4.7=4.76 + log [base]/[acid] -0.06= log

  4. math

    If log (base b) 3 = 1.099 and log (base b) 6 = 1.792, find log (base b) 18 = ???

  5. Algebra 2

    Condense the expressions 1) 10 log x + 2 log 10 2) 1og base 5 of 8 - log base 5 of 12 Can you please explain to me how do you condense these expressions? Thanks in advanced!

  6. chemistry

    Q: Calculate the pH of a solution that is 0.56 M HC3H5O3 and 1.28 M NaC3H5O3. I used the H-H equation for this and got this so far: HC3H5O3 acid NaC3H5O3 base pH = pKa + log([NaC3H5O3]/[HC3H5O3]) = -log(Ka of HC3H5O3) + log(1.28/0.56) = -log(1.4*10^-4) +

  7. Econ math/logarithms

    If log with base b (2)=0.39 and log with base b (3)=0.61 evaluate the following. log with base b (8). Simplify your answer. How to start? I thought I am supposed to write log base b 2^3 but I don't seem to get an answer that would fit.

  8. math(Please help)

    1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!

  9. Algebra 2

    Express as a single logarithm. 1/2 log base b of (x-2)- log base b of y + (3 log base b of z) = log base 6 of (x-2)^1/2

  10. Math

    The problem I have to solve is log with base 2 ^6 multiply by log base 6 ^ 8. I use the change of base formula and got log6/log2 * log8/log6 Which become log6/log2 * log2()^3/ log 6 I'm stuck here thanks.

  11. Algebra 2

    Use the laws of logarithms to condense the following expressions. log base 5 of 6 - log base 5 of x

  12. algebra

    Find value of log (base 8)log (base 2) log (base 3)log (base 3) (27)^3 I endedup with 1.000063462 which was wrong

  13. pre calculous

    use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the expression as a single logarithm

  14. interesting log problem

    log base 2n 1944 = log base n (486* (2)^1/2) find n^6

  15. math

    solve the simultaneous equations; log x base 2-log y base 4=4, log (x-2y)base 2=5

  16. Precaculculus

    Suppose you are told that log(2)=0.3562 and log(3)=0.5646. All of them with the base of 'a'. Find: i) log(6) ii) log(9) Solutions i) log(6)= log (3)(2) = log 3 + log 2 = 0.5646 + 0.3562 = 0.9208 ii)log(9)= log 3^2 = 2 log 3 = 2 (0.5646) = 1.1292

  17. College Algebra

    Solve the logarithmic equation. Express your solutions in exact form only. Please show all of your work. log base 6 (64x^3+1)-log base 6 (4x+1)=1

  18. log graph

    How do you graph y= -log (base 5)(-x)? The written question is: Sketch above equation by first describing the transformations performed on the equation y= log (base 5)(x) And what is the inverse function? x=log (base 5)(y)?

  19. Logarithms

    Prove that log base a of x divided by log base a/b of x is equal to 1+log base a of(1/b) Where do I start?

  20. Trig

    log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i got to the part as far as: (log 4/log b) = 2 now i m stuck at how i can isolate the b. plz help!

  21. math

    mathematically Evaluate without using tables 2 log base 10 raised 2 power 5 + log base 10 36 - log base10 9 that is, 2log10 5 +log 10 36 - log 10 9

  22. math

    given log 2 base 7 is 0,3562 and log 3 base 7 is 0,5646 evaluate log 42 base 7 without using calculator or tables

  23. Precalculus

    Verify these answers please. 1. Which of the following functions would f(x) = log(base 10)x horizontally 4 units to the left? a) f(x)=log(base10)(x-4) b) f(x)=4Log(base10)X c) f(x)=log(base10) x+4 Answer: C ------------------------------------ 2. State the

  24. Algebra 2

    -Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent? My answer: Let b=2, m=8, n=16 *log base b (mn)=log base b of m + log base b of n log base 2 of 8+ log base 2 of 16=7 * (log base b of m) (log base

  25. math

    Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) = 2ln(5) (g) ln(1) =

  26. calc

    given that log2 3 = x, log 2 5=y and log 2 7 = z, express log 2 21 in terms of x,y, and z the 2 is the base

  27. Algebra 2

    -Explain the difference between log base b of m plus log base b of n and log base b (m+n). Are they equivalent? -Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent?

  28. maths

    Solve this logarithmic equation. 3 log 2 base x + log 18 base x = 2

  29. Math

    So I have a question regarding advanced functions, logarithm stuff. here is the question: Beginning with the function f(x) = log[base(a)]x ,state what transformations were used on this to obtain the functions given below: a) p(x) = -(5/8) log [base(a)]x b)

  30. algebra 2

    log(base 2)csc(x) = log(base 4)csc(4x^2) I tried doing the log(base a)b = logb/loga but I can't get past that because I'm not sure what to do after that. How do I set it up so I get like cscx=? or something so I'm able to solve for multiple values of x?

  31. pre-calculus

    What is the base of the function F(x) = b to the power of x if the graph has points of (1/3, 2)and another off the subject one if g(x)= log 7 x what is g(1/49)? If F(x) = 2 when x = 1/3, and if the ntio is of the form F(x) = b^x, then 2 = b^(1/3) Cube both

  32. Calc

    Find the derivative of: 1. Xlog base e (log base e X) 2. log base x 7 3. (sinh x)^2 - (cosh x)^2

  33. Math - Logarithmic

    log_5[log_4(log_3(x))] = 1 log_5 = log with the base of 5 log_4 = log with the base of 4 log_3 = log with the base of 3 Answer: 3^1024 Too many logs in one equation. . .I don't know how to solve it

  34. logarithms

    Ive been staring at this problem for like a half hour now and I cant figure out where to even begin... log(base x)4 + log(base 8)squareroot(x) = 4/3 solve for x any help appreciated

  35. advanced algebra

    we are working with logarithms and i don't understand them at all! I get the basic content but then it gets a little more advanced, and I get completely confused. There's one in particular that I have NO idea how to do. Help please?! Simplify: 3 ^

  36. chemistry

    The definition of pH is: pH = -log 10[H^+] what is the defintion of the [OH^-]... is it pOH = -log 10[OH^-]? Yes!! pH = - log10 anything. pKa = -log Ka Pkb = -log Kb pKw = -log Kw = 14 PKsp = -log Ksp (solubility product) and so on into the night.

  37. pre cal

    (1/3)LN27 + 2LNx = LN(2-x) i think i just need help getting started. I assume that your LN notation is log to base e. I will call it ln. (1/3)ln 27 = ln (27)^(1/3) = ln 3, (since 27^(1/3) is the cube root of 27). Therefore ln 3 + 2 ln x = ln (3 x^2) = ln

  38. Calculus

    Find the inverse of each relation: y = (0.5)^(x+2) and y = 3log base 2 (x-3) + 2 For the first one I got y=log base 0.5 (x+2)...but the answer in the back of the textbook says that it is not x+2, but x-2. Can someone tell me why it would end up being x-2

  39. Precalc

    1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2. 2^x+8 times 2^=x all over 2 = 3 3. if log base a of 3= x and log base a of 2 = y, find each of thefollowing in terms of x and y log base a (18a^3) thanks!!

  40. math

    Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9)) in a form with no logarithm of a product, quotient or power. After rewriting we will have: log(base 2)A+log(base 2)x+log(base 2)f(x) What is A and what is f(x)?

  41. math

    write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use these three rules and it

  42. precalc

    Solve: round to the thousandths if necessary! 1) 4^3/4x+5 = 12 2) log(x-1) + log x = log 6 3) 2log(base 4) 5 - log(base 4) x + log(base 4) 3 - log(base 4) 7 = 1/2

  43. precalc help

    Find the exact value without a calc 1. log base 3 of 8 times log base 8 of 9. I started by changing both bases to 10 but don't know what to do from there. 2. e ^ log base e^2^9. I hope that isnt confusing. My teacher said we are suppose to get the bases

  44. math-logs

    1. logaB = 2 and logbC = 4, evaluate logcA *the lowercase letters are bases ie. log(base a)B 2. solve for x: (log(base 2)x))^3 = log(base 2)x

  45. LOGARITHMS

    HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT THE USE OF A CALCULATOR...OKAY MY PROBLEM IS THIS... 2 3 2log 8 + 2log 8 what should i do? i had come to the piont of... 4 5 log 8 + log 8 But what's to do now i don't know..Think u can

  46. log equation graph

    How do you graph y= -log (base 5)(-x)? The written question is: Sketch above equation by first describing the transformations performed on the equation y= log (base 5)(x) And what is the inverse function? x=log (base 5)(y)?

  47. graphing

    How do you graph y= -log (base 5)(-x)? The written question is: Sketch above equation by first describing the transformations performed on the equation y= log (base 5)(x) And what is the inverse function? x=log (base 5)(y)?

  48. Algebra 2

    I am trying to find the inverse of these functions. Can someone please check my answers and tell me how to do number 2? 1. y=7^x y=log base 7 x 2. y=log base 1/2 x 3. y=2^(x)-3 y=2^(x+3) 4.y=6+log x

  49. Mathematics

    Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? Log ar^2 - Log ar= Log ar - Log a hence applying laws of logarithm Log(ar^2/ar) = log(ar/a) Log and log cancels out and then cross-multiply hence a^2r^2 = a^2r^2 L.H.S=R.H.S

  50. Algebra

    In the logarithmic expression . . . log(base 4) 8 , how does the base 4 become base 2? Here is how it is suppose to be worked out: log(base2)8 / log(base2)4 => log(base2)2^3 / log(base2)2^2 => 3/2

  51. Algebra 2

    solve for x: 3^2x+3=7^x+1 I did 2x+3=log0f3(7)+ logof3(7) (2-log of 3(7))x=log of 3(7)-3 x=log of 3 (7)+log of 3 (3^-3)/log 0f 3 (3^2)-log of 3 (7) x=log of 3 (7-1/3^3)/log of 3(9/7) log of 3(7/27)/log of 3(9/7) answer log of 9/7(7/27) Is this correct?

  52. math

    I need an expression written for the following logs using "sum, difference, or multiple of logarithms." a) log[base(2)] ((x^2) - 9)/(x^3))^3 b) log[base(a)]5a^4 Hopefully they are clearly written. thanks. -roberto

  53. Trigonometry

    Solve for x to the nearest hundreth and can you explain how you get your answer I don't understand 3^x = 1.295 Your question has nothing to do with trigonometry. You can solve for x by taking the logarithm (to any base) of both sides of the equation. Then

  54. Math

    prove: 1/log(base36)a = 2/log(base6)a i made a common base and then multiplied both sides with log(base6)a to get 2=log(base6)a/log(base6^2)a but this is as far as i can figure.

  55. Chemistry

    What is the pH of the solution if 0.015 mol of HCl is added to a buffer containing 0.014 mol of RCOOH and 0.033 mol of RCOONa (source of RCOO-)? Ka = 2.8E-5 I have tried the following: adding 0.014 + 0.015 = 0.029 ph = pka + log (Base/Acid) pH =

  56. Math

    Log(base a)(a^4*b)-Log(base a)(a*b) is the same as a)4 b)3 c)3a d)a^3 I got the answer as d since subtracting logs with the same base is division. However, the answer key saids its b, Can someone please help me with this?

  57. Algebra 2

    how do not understand how to do this Log X + Lob (X-3) = 1 I know I do this Log X(X-3)=1 then I do this Log X^(2) - 3X = 1 then I do this 2 Log (X-3X) = 1 then 2 Log (-2X) = 1 then (2 Log (-2X) = 1)(1/2) Log (-2X) = 1/2 then (Log (-2X) = 1/2)(-1/2) Log X =

  58. Math 12

    Hey everyone; There are some questions on my review I am having trouble with. 4. Evaluate each logarithm. g)log base 5 square root 5 I can't figure out how to do square roots... h)log base 3 1 I got 3, but the anwser is 0 Also, directions ask you to write

  59. Trigonometry

    Every point (x,y) on the curve y=log(3x)/log2 is transferred to a new point by the following translation (x′,y′)=(x−m,y−n), where m and n are integers. The set of (x′,y′) form the curve y=log(12x−96)/log2. What is the value of m+n? Details

  60. Precalc

    solve the equation: log base 10 of x - log base 10 of (7-4x)=2 Please help i have been stuck on this for awhile!

  61. College Algebra

    Solve the logarithmic equation for x. log(base 3)(x+6) - log(base 3)(x+1)=1 urgent! help!

  62. Chemistry

    Strong base is dissolved in 535 mL of 0.200 M weak acid (Ka = 3.16 × 10-5) to make a buffer with a pH of 4.04. Assume that the volume remains constant when the base is added. HA (aq)+ OH^-(aq) -> H2O(l) + A^-(aq) Calculate the pKa value of the acid and

  63. maths

    Solve this logarithmic equation. 3 log 2 base x + log 18 base x = 2

  64. Advanced Functions/ Precalculus Log

    1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)x-log(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x-1). Round answer to

  65. check!

    here is the question: log5(x-4)= log7x solve for x. These are just base 10 logs. log100 = 2 This equation has the same format as log 40 = log (2x20) Since both sides have log base 10, you divide by log base 10 and end up with 5(x-4) = 7x, so 5x -20 =7x

  66. Math - Bases

    What is 12 base 5? Would you just divide 12 by five and get 2 (but then what about the remainder) If you are refering to logs, 12 base 5 means log of 12 to the base 5. Call it x. 5^x = 12. x = log 12/log 5 (any log base can be used) x = 1.07918/0.69897 =

  67. chemistry

    Please, can someone help? Evaluate log 1. This is my work up until I have gotten stuck: log 1 1=10^x I can't find a common base for 1 and 10^x. Wow, my apologies, this is algebra, not chemistry. but actually I think they use it in chemistry too... Take the

  68. math

    i have 2 math questions i don't understand so if you could help me i would like that. Log base 3 64-log base 3 (8/3)+log base 3 2=log base 3 4r Log base 6 (b^2+2)+logbase6 2=2

  69. Precalculus

    I'm studying for my precalc exam and have completed 42 practice problems. I have 3 I need to answer that I can't. Please help. What is the base of the function G(x) = log subscript b x if it's graph has points (16,4)? Using the properties of logarithms how

  70. College Alegebra

    I know I have to take the log of both sides, but I don't seem to get how they work out! Can anyone explain how to do 3e^(1+x) = 2 AND 10^(2x+3) = 280 If you walk me through one I should be able to figure out the other. Hopefully... I think you need to go

  71. Math

    Help with these problems would be greatly appreciated: 1.Find the definite integral of dx/(x(1+ln(x))from e^6 to 1. 2. Solve for x in terms of k for log[2,x^6)+log[2,x^10=k. (its log base 2) 3.Solve log base 3(log base 3, x)=-2

  72. Pre-Calculus

    Laws of Logarithms Without using a calculator use the change of base rule to evaluate 1. a) log(subscript8)32(hint use base 2) =log(subscript2 32)/log(subscript2 8) = 5/3 b) log(subscript36)1296. This one doesnt even give you a hint, so how do you know

  73. logarithm

    If log base 2 of x and log base 2 of y are distinct positive integers and log base x of 2 plus log base y of 2 equal to 0.5. xy=?

  74. Algebra

    How can you find log base 3 of 242/5 using the given information without a calculator? log base 3 of 10 = 2.1 log base 3 of 11 = 2.2 log base 3 of 4 = 1.3

  75. need math help asap (logs) !!!

    Create a question that will use all four Log Operations and four Basic Log properties. The four log properties are: Logb 1=0; logbB=1; logbB^x=x; b^logbx=x the final answer must be X=e^pi where e is the natural log base = 2.718 be creative. Start with ln x

  76. Math

    these are some problems i do not get any help is appreciated. These are copied exactly from the worksheet so i don't think i wrote anything wrong. Please explain it for me and could i get the answer thanks (: Log7 x= ½ log7 36 (log base 7) log x=2log 5+

  77. pre-calculus

    What is the domain and range of log3 (1-x)? I will be happy to critique your thinking. To assist you, consider log (-4) log (0) log 25 Those are to the base 10, changing to another base just changes the numbers, not the function.

  78. maths need help

    If Log (a+3) (base 9) - log b(base 9)= c + (1/2) and log (a-3) (base 3) + log b (base 3)=c - 1. show that a^2=9 + 27^c and find the possible values of a and b when c=1

  79. Algebra 2

    Can you please explain step by step on how to do this problem? Condense the expression. 2(log base 6 of 15 - log base 6 of 5) + 1/2 log base 6 of 1/25

  80. Algebra 2

    Can you please explain step by step on how to do this problem? Condense the expression. 2(log base 6 of 15 - log base 6 of 5) + 1/2 log base 6 of 1/25

  81. Review of Logs

    I can't seem to get the answer to this; the answer key says log(base 8)6 Write as a single logarithm log(base 8)42log(base 8)3 - log(base 8) 6 I'm hoping the key is wrong :) Thank you for your help!

  82. Math: Algebra2 Logarithms

    Can someone help me find the value of B in this expression???? log 64 = Blog 4 5 5 Grrr... sorry about that. Here's the expression again: log (base = 5) 64 =B log (base = 5) 4 log 64 (base5) = log 4^b (base5) so 64 = 4^b by recognition of 64 as a power of

  83. algebra 2 logs and trig

    log(base 2)cotx - 2log(base 4)csc2x = log(base 2)cosx the answer should be x = pi/3, 5pi/3 not sure how to work it out though, any help? I tried canceling the bases but that led to a dead end.

  84. math

    Given: f(x)=log 5 x what is the value of f(125) and f(1/25)? Totally lost! I assume you mean f(x) = log (5x), not log 5 * x. If this is the case, then f(125) = log 600 and f(1/25) = log (1/5) If the base of the logs is 10, then log 600 = 2.778..

  85. Algebra2

    Combine, rewrite & solve: 4 log base 9 of 3 = x log base x of 12 + log base x of 18 = 3

  86. Calculus

    Please help simplify this expression: 2 log (base 4) ^9 - log (base 2) ^3 The answer should be log(base 2) ^3

  87. Advanced Math

    log10x + log10(x+1)=1 In other words log base 10 + log base 10(x+1)=1 I need to show it algebraically not using calculator Thanks a lot !

  88. Math

    How do you write ln(n) in log form? I know that you can convert log of some base by doing ln of the variable over ln of the base, but I don't know how to do the opposite.

  89. Logarithms

    if log base 10 of 2 = .301 then what is log base of 10 of 2000? I know how to solve with a calculator but I'm having a hard time doing it without one.

  90. Algebra 2 once more

    I have more answers that I would like checked. Also, there is one that I'm really confused about. I appreciate any help. :) Rewrite as the log of a single number. 1) 8 ln 2 = ln(2^8) 2) log 42 - log 6 = log 36 (I think this one may be wrong). Evalute each

  91. Math

    can someone please look over this and tell me if I made a mistake? log with a base of 3(−9) = 2x -log with a base of 3(9) = 2x -2=2x x=-1 I'm pretty sure I did it right but just incase please look over and let me know if and where I went wrong. Thanks!

  92. Algebra 2

    Log base 5 of 16 cubed. Times log base 11 of 6 squared. Equals logx.

  93. Algebra 2 ..

    Simplify. 1. Log base 4 of 256^2 IS THE ANSWER 8....IF SO AM I SMART? 2. Log of 45 ^x Is the answer 1.65X? 3. Log base 6 of 12 ^(x+1) Is the answer 1.39x+1.39?

  94. Algebra 2

    Use the laws of logarithms to condense the following expressions. log base 3 of 2 + 2 log base 3 of x

  95. Math

    What are the possible solutions of 2 log base 2 𝒂 = 10 − 2 log base 2 𝒃, where 𝒂 and 𝒃 are integers? Show work.

  96. trig

    If a, b are the solutions of the equation log base 3 (5-2x)+ log base 3 (5+2x)=2 find the value of the product ab.

  97. math 12 logarithms

    How would I go about proving 1/log a +1/log a = 1/log base 100 a. Any help would be greatly appreciate. Thanks

  98. Logarithm Please Help

    x and y are positive real numbers that satisfy log(base)x y + log(base)y x = 17/4 and xy=288√3. If x+y=a+b√c, where a, b and c are positive integers and c is not divisible by the square of any prime, what is the value of a+b+c?

  99. Calculus

    log base 4 of 8/log base 8 of 16 question is to simplify can you rewrite it this way? 4^x = 8 --------- 8^x = 16

  100. Math - logs

    I need help solving this because it involves 2 bases: log (base 2) [log (base 5) 25]= ???

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