Question

True or False? If x>0 and a>1, then (ln x/ln a) = ln (x/a) Counter example if false.

Answer 1

It's False!
If a=e and x=1, you'll get: $ln(1)ln(e)=01=0 \neq -1=(−1)ln(e)=ln( e^{-1})=ln(\frac{1}{e} )$