# Logarithm

Determine the value of each logarithm

a) Log(4)256

b) Log(2) 1/64

Thank you!

1. 👍 0
2. 👎 0
3. 👁 61
1. (4^2)2 or 4^4=256
log4(256)=4

log2 (1/64)=log2(1/8)^2=2*(-3)=-6

1. 👍 0
2. 👎 0

## Similar Questions

1. ### 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)

asked by Simon on April 16, 2010
2. ### 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

asked by Anonymous on July 15, 2009
3. ### 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

asked by michelle on February 25, 2007
4. ### college algebra

Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4 - log x^3 4 log (x+3) - 5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please.

asked by Deb on April 17, 2013
5. ### math

write as a single logarithm: ln(x/x-1)+ ln(x+1/x)- ln(x^2-1) please show me the steps. thanx Michelle, I hope you know the three main rules of logs. 1. log (AB) = log A + log B 2. log (A/B) = log A - log B 3 log A^n - n log A

asked by michelle on March 13, 2007
6. ### mathematics -logs

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of

asked by malcolm on May 12, 2007
7. ### Algebra 2

How is the expression log 32 - log 8 written as a single logarithm? log 4 log 8 log 24 log 40

asked by Sandra on February 13, 2016
8. ### maths

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of

asked by kelly on April 17, 2007
9. ### maths

which three statements are true? a) if x= -10^4 then log 10 = -4 b)if x= 2^8 then log 2x = 8 c) log2 2= 4 d) if x= 3 then log10 3=x e) log 10 256-2log 10 a/log 10 b f)log 10 (a-b)= log 10 a/log 10 b g) the gradient of the graph of

asked by claire philips on May 12, 2007
10. ### 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

asked by sara on March 3, 2019

More Similar Questions