How do you expand Log_b( sqrt57/74)?

1 Answer
May 20, 2016

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

Explanation:

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