How do you expand $Log_b( sqrt57/74)$ ?

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Answer 1 · 2016-05-20T02:38:43

$((1/2) log 57 - log 74)/log b=((1/2) ln 57 - ln 74)/ln b$

Use $log_b a=log_c a/log_c b and log_b a^n=n log_b a$ .

Here, the given logarithm

$= log_b( sqrt57 /74)$

$=log( sqrt57 /74)/log b=ln( sqrt57 /74)/ln b$

$=( log 57/2 - log 74)/log b=( ln 57/2 - ln 74)/ln b$

How do you expand Log_b( sqrt57/74)Log_b( sqrt57/74)?