Logarithms and ratios. This is the question: log_b 64 = 3/b And have to find b.

Goundoubuf

Goundoubuf

Answered question

2022-11-25

Logarithms and ratios.
This is the question:
log b 64 = 3 b
And have to find b.
So I tried a bit and got this:
b log b = log 64 3
But have no idea what to do next.
Thanks for your help.

Answer & Explanation

accionsanjoseC9L

accionsanjoseC9L

Beginner2022-11-26Added 13 answers

log b 4 3 = 3 log b 4 = 3 b log b 4 = 1 b b 1 b = 4
Edit:
b = 4 b ln b = b ln 4 b = e b ln 4 b e b ln 4 = 1 b ln 4 e b ln 4 = ln 4 b = W ( ln 4 ) ln 4
where W is the Lambert W function.

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