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Need help with rewriting logarithms

how do I rewrite this function?
Log base 2 (x^2y^3/2)

also need help with this one too

log base 8 (64/square root of x+1)

November 15, 2012

3 Comments • Newest first

onigiri123

@GreatGodkt
log laws: when they have the same base: subtraction becomes division.
ie: log_8 (64/square root x+1) = log_8 (64) - log_8 (square root x+1)
Then, you'll remember that SQUARE ROOT is the power 1/2

You can move the power from to the front of the 'log'
ie: log_8 (64) - (1/2)log_8(x+1)

Is that it? or are you trying to rearrange into indices?

EDIT: other equation as follows
Same concept:

log_2[ (x^2) (y^2) ]/ 2
Is log_2 (x^2) + log_2 (y^2) - 2log_2(2) <- note that log_a(a)=1
Then you move the powers to the front
ie: 2log_2(x) + 2log_2(y)-2

Reply November 15, 2012 - edited
greatgodkt

do you mind showing me step by step? I would appreciate it.

Reply November 15, 2012 - edited
greatgodkt

well I don't even know how to do with x and y.

Reply November 15, 2012 - edited