Posted by **brianna** on Friday, November 18, 2011 at 9:18am.

log4(little 4) 8

how do i write this in y=?

- college algebra... LOG -
**MathMate**, Friday, November 18, 2011 at 12:36pm
Use the laws of logarithms,

log ab = log a+log b

log_{a}a = 1, and

log_{a} sqrt(b)=(1/2)log_{a} b

log 8

= log_{4}4*2

=log_{4}4+log_{4}2

=1+log_{a}2

=1+(1/2)log_{4}2

=1+(1/2)(1)

=3/2

- algebra-LOG - correction -
**MathMate**, Friday, November 18, 2011 at 12:37pm
Use the laws of logarithms,

log ab = log a+log b

log_{a}a = 1, and

log_{a} sqrt(b)=(1/2)log_{a} b

log 8

= log_{4}4*2

=log_{4}4+log_{4}2

=1+log_{4}2

=1+(1/2)log_{4}4

=1+(1/2)(1)

=3/2

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