Help with Evaluating a Logarithm A precalculus text asks us to evaluate log_(8)(sqrt(2)*root[3](256))/(root[6](32))

Bodonimhk

Bodonimhk

Answered question

2022-10-14

Help with Evaluating a Logarithm
A precalculus text asks us to evaluate log 8 2 256 3 32 6
I do the following: log 8 2 ( 2 2 ) 3 2 2 3 2 3 2 2 6
log 8 2 2 2 2 2 3 2 2 2 6
log 8 2 2 2 2 3 2 3
and then I'm stumped.
Hints?

Answer & Explanation

amilazamiyn

amilazamiyn

Beginner2022-10-15Added 14 answers

log 8 ( 2 2 2 2 3 2 3 ) = log 8 ( 2 2 2 3 ) = log 8 2 7 / 3 = 7 3 log 8 ( 2 ) = 7 3 1 3 = 7 9
8 1 / 3 = 2 log 8 2 = 1 3

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