Rewrite the logarithm as a ratio of common logarithms and natural logarithms

Question

Rewrite the logarithm as a ratio of common logarithms and natural logarithms.

log_6.8(x)

Answer 1

Rewrite the logarithm as a ratio of common logarithms and natural logarithms.

log_6.8(x)

This is a changing of the base property. Log_b x = Log_a x/Log_a b you will use this property to do the problem.

1. log_6.8(x) = log x / log 6.8 (I am using natural log, base 10 as the changed base)

(It is worth your time to memorize this property and a few other log properties as you go forward in this class; as they will resurface for a while). I hope this helped!