Practice!

Sample Problem

Rewrite log9/8x as the ratio of natural logarithms. (Keep fractions in their simplified improper fraction form)

log9/8x=ln ()/ln ()

Solution

According to the Change-of-Base Formula, we can rewrite any logarithm as a ratio of common logarithms (base e).

logax=ln x/ln a

log9/8x=log x/log (9/8)