# log² 16 = x

175 results
1. ## Algebra

expand log2 (8x^2+48X+72)

2. ## precalc

Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log2(x + 17) − log2(x − 2) = 1 2 is the base for the log.

3. ## Math

I am lost!! Find the inverse function of f(x)=log2(4x) Thanks

4. ## Math

Log2 (x-6) + log2 (x-4) - log2 X=2

5. ## trig

solve for x log4 64+ log2 2 ________________ =x log3 81

6. ## pre cal

f(x)= log2 (x-1).The vertical asymptote of the function f(x) has equation:?

7. ## Discrete Mathematics

If f(x) = log2 (x - 2)3 and g(x) = log8 (x - 2), when is (f + g)(x) = 0?

8. ## Mathematics

Solve for x if I: Log2(x²-2x+5)=2 ii: Log 3(x²+2x+2)=0

Given that log2 3=h and log2 5=k, express log2 0.45 in terms of h and k.

10. ## mathematics

solve :log (12x-10)=1+log2(4x+3)

11. ## Math

Evaluate 6 log2 ∛64 +10log3 (243)^1/5)

12. ## Math

log2√36 - log2√72 I am not sure how to do this question. I need an explanation.

13. ## math/algebra

solve the equation log2(3x-2) - log2 (x-5)=4

14. ## Algebra II

Please check answers: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x= -2. My answer: -2/25 Solve 64^x/=5/2 Thanks.

15. ## math

express log2+log3 as a single logarithm

16. ## Math

3logX - log6 + log2.4 = 9

17. ## maths

solve log2(x+1)-log2x=2

18. ## Math - Logarithmic

Solve: 2^(5x-6) = 7 My work: log^(5x-6) = log7 5x - 6(log2) = log7 5x = log7 + 6(log2) x = (log7 + log2^6) / 5 And textbook answer: (log7) / (log2) What did I do wrong?

19. ## Mathematics

Find x such that log3(2x-1)=1+log2(x+1)?

20. ## math

solve the equation log2(x+4)-log4x=2 the 2 and 4 are lower than the g This is what I got: log2(x+4)+log2(4^x)=2 log2((x+4)*4^x)=2 4^x(x+4)=4 x=0 is a solution???

21. ## math

simplify 2log4(9)-log2(3)

22. ## Math

if log2(x 2) =2log2y express x in term of y?

23. ## Algebra II

Solve log2(7x-3)>= log2(x+12) My work: 6x=15 x=15/6 x-5/2 so my answer would be: x>= 5/2 Is this correct?

24. ## Algebra

Can someone help solve this step by step log2 4 + log2 (c-9) = 5

25. ## Math

Log(x-2)+log2=2logy

26. ## math

what is the solution for the logarithmic equation log2(x2+2x-44)=2? x2=x squared

27. ## Logarithms

I'm working on logarithmic equations and I'm stuck on how my book arrives at the next step. First, they use the change of base formula on, log(sqrt(2))(x^3 - 2) (sqrt(2)) is the base,changing to base 2 log(sqrt(2))(x^3 - 2)= log2(x^3 - 2)/(log2(sqrt(2)) I

28. ## Math

log2(x)- log2(7) does this equal 1?

29. ## calculus

log2^24 - log2^3 = log5^x what is X? thanks

30. ## math

2+log2(x+2)=3

31. ## Algebra 2

Log² x + log² 3 = 1

32. ## Mathematics

The value of log2√3 1728=

33. ## Mathematics

Solve for X: (x-6)log4=(3x)log2

34. ## pure math

2logy=log2+logx

35. ## math

write 5-log2(4y) as a single quantity

36. ## math/algebra

find the domain of the function 1) f(x)= log2( 49-x^2) 2) f(x)=In [1/x+5]

37. ## MATH

Solve: logx^3 - log2 = log(2x^2)

38. ## Algebra

Write the logarithm in expanded form. log2(y^5)

39. ## Math

I don't understand how log2 √(1/2) turned into log2 2^(-1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A - logk B 3. logk (A^n) = n logk A where k is any positive number , k ≠ 1 so

40. ## Math

I don't understand how log2 √(1/2) turned into log2 2^(-1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A - logk B 3. logk (A^n) = n logk A where k is any positive number , k ≠ 1 so

41. ## Math

I don't understand how log2 √(1/2) turned into log2 2^(-1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A - logk B 3. logk (A^n) = n logk A where k is any positive number , k ≠ 1 so

42. ## Urgent math

i need help with these two homework problems Use the Laws of Logarithms to combine the expression into a single logarithm log2 5 − 5 log2 x + 1/2 log2(x + 1) Solve the logarithmic equation for x log2(x + 2) + log2(x − 1) = 2

43. ## Math

Hello! Could someone please take a look at the problem below and let me know if I made mistakes in simplifying the given equation? I'm quite certain that I did make a mistake somewhere because the original equation and its simplified form give different

44. ## math30

1.Use the laws of logarithms to express log2 (6) â€“ log2 (3) + 2log2 (8)^1/2 as a single logarithm; then evaluate. 2. For logy = log(0.5x â€“ 3) + log2, express y as a function of x.

45. ## precalculus

find the exact value of the following logarithm. Use the properties of logarithms show all work. log2 34-log2 17 (Those are little two's)

46. ## Math

Hi! Could someone possibly help me solve this?; log2(x+4)=log2(x^2+2). For my answer, I got "All Real Numbers" or x=0 but I'm not sure if that's right. Thanks a bunch! :)

47. ## Math

Hi! Could someone possibly help me solve this?; log2(x+4)=log2(x^2+2). For my answer, I got "All Real Numbers" or x=0 but I'm not sure if that's right. Thanks a bunch!

Tell what the output value is for the function machine for the given values. log 16.9=1.23 log2^152=9 log2^1=0 log0.046=1.34 thank you

49. ## algebra

Solve for x 1. log5 X=3 2. Log2 16-log2 =x 3. Log9 6561=x

50. ## Math

Can someone solve this showing the steps involved 4^log2(2^log2 5)

51. ## Math

Need help solving for x with work shown 2log6(4x)=0 Log2(x)+log2(x-3)=2

52. ## Pre Cal

Been trying to solve this equation and I keep getting 3...any advice would be appreciated log2 (x+5)=4+log2 (x-1)

53. ## Algebra 2

solve log2(3x-1)-log2(x-1)=log2(x+1) i have absolutely no idea how to solve this. can anyone help me, please?

54. ## Algebra

Solve the logarithmic equation. log2(4x)-log2(x+3)=1

55. ## Precalculus

More log/exponential equations log2 x + log2(x+2) =3

56. ## AP Math

Solve: log2(2x^2)[log2(16x)]= 9/2log2x

57. ## Math

1. The sequence log2 32, log2 y, log2 128, ... forms an arithmetic sequence. What is the value of y? 2. If log a^2 b^3 = x and log (a/b) = y, what are the values of log a and log b?

58. ## 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.

59. ## calculus

Solve the equations i) log2(x + 2) + log2 x = 3. ii) 25^x + 5^x+1 + 6 = 0.

60. ## Math

How do you solve: log2(x-1)+log2(x-2)=1 I got up to x^2-3x=0 Is it no solution or does it become x(x-3)? Thanks!

61. ## Math Help

Solve for x: 1.) ln√x-8=5 2.) log2x+log2(x+2)=log2(x+6)

62. ## Urgent Math Help

Solve for x: 1.) ln√x-8=5 2.) log2x+log2(x+2)=log2(x+6)

63. ## math30

Solve log2(x-1) = 5-log2(x+3) for x. base 2.

64. ## maths

1.Log10(x²-12x+36)=2 2.log4 log3 log2 x=0 3.log3 [log9x+1/2+9x]=2x 4.2log4(4-4)=4-log2(-2-x)

65. ## College Algebra (pt.2)

Hey, I would love if someone could please look over my answers. I just learned this yesterday and want to make sure I did my hw correct. Thanks!!! Solve for x. Round answers to four decimal places where appropriate: 6. ln(5x-3)=0 ans= x=3/5 7. log5^x=3

66. ## Algebra 2

Express as a logarithm of a single number or expression: 1. 5log4^p+log4^q 2. log10^x-4 log10^y 3. 4log3^A-1/2 log3^B 4. log5^M+1/4 log5^N 5. log2^M+log2^N+3 6. log5^x-log5^y+2 7. 1-3 log5^x 8. (1+log9^x)/2 I need to see all of the steps. Thanks

67. ## 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.

68. ## 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

69. ## maths pls help

1. Solve the following simultaneous equations: log2 xy = 7 log2 (x^2/y) = 5 2. If log y x =a and log z x=b where x is not equal to 1, express the following in terms of a and b: logy (yz) Solve the following simultaneous equations: y = 2 log3 x y+1 = log3

70. ## Pre-Calculus - Reiny

Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, don't know where to go abouts from here: I did it on

71. ## precalc

I don't understand how to do these w/o calc. I tried to write it in a way that will make someone understand how to read it. Hope I typed it clear enough.Thanks so much for the help anyone! How to find the exact value of logarithm: 10. log5^100 -log5^4 11.

72. ## Algebra

LOG2 (X+3)= LOG2 (4X-24) THANKS

2=log2(4)

74. ## final review help

log2 64 and 2^x = 40

log² 16 = x

76. ## Algebra2

log2(x+8)-log2(5)=4

Log2^64?

78. ## math

What is log2.135?

79. ## math

help please 1. log2 x=1/2 2. log√x=-1 3. ln⁡x=1+ln⁡(x+1)

80. ## Calculus

simplify log2(4x^2 2^x)

81. ## math

I need help here log2^(3) + log4^(7)

82. ## Basic mathematics

log2+3log2-4log7

83. ## MATH

Solve: (log2 8)^x - (log9 3)^x+1 = 0

84. ## math

a) Log2(x^2 – 9/x^3)^3

85. ## Mathematics

Log2=0.3010 Simplify .075log15

86. ## math

Can someone solve this and explain it please 4^log2 (2log2 5)

87. ## Math

f(x) = log2(x – 3) + 1. How do I find the Domain and Range?

88. ## math againnn!

Solve for x: 2log(3-x) = log2 + log(22-2x)

89. ## Algebra 2

Solve the equation log2(x^2-20) - log2X =3 the two is the base*

90. ## maths

integrate logx/x^2 from 1 to 2 my answer is (-log2-1)/2 is it correct or not?????

91. ## kampala

given that equation 2logx +log2= log5+10.solve for x

92. ## Math

log2(-3sinx)=2log2(cosx)+1 solve for x

93. ## Algebra 2

Can In 5 + log2 10 be written as a single logarithm? Explain.

94. ## Algebra

(log base 2, cube root of 2) log2(2^1/3)

95. ## Algebra ck to see if I did it correclty please

find the exact x log6^36 x= 2 log2^4 x= 2 log3^81 x= 4 Thank you for your help. I am trying.

97. ## CALC

Solve the Equation: 1. 2^x + 2^-x = 5 2. Log2x + log2(4 – x) = 0 thanks. i'm not sure how to approach this at all.

98. ## algebra

Expand the expression log2(square root of 2x/2)

99. ## calculus

Suppose that log2 = a and log3 = b Solve for x in terms of a and b: 6^x = 10/3 - 6^-x