Evaluating Logarithmic Expressions Evaluate: log_4 (1/(256)) I am not sure how to approach this since there is nothing set equal to it.

emmostatwf

emmostatwf

Answered question

2022-09-09

Evaluating Logarithmic Expressions
Evaluate:
log 4 ( 1 256 )
I am not sure how to approach this since there is nothing set equal to it.

Answer & Explanation

Leslie Braun

Leslie Braun

Beginner2022-09-10Added 7 answers

Really it should say "evaluate" not "solve" since, as you note, there isn't an equation, per se. Note that 1 256 = 4 4 . Can you see how to proceed?
st3he1d0t

st3he1d0t

Beginner2022-09-11Added 3 answers

First note that
log b b = 1
So now we have
log 4 ( 1 256 ) = log 4 ( 1 4 4 )
= log 4 ( 4 4 ) = 4 log 4 ( 4 ) = 4

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