How do you solve #log_7 x=log_2 9#?

1 Answer
May 11, 2015

Ok...I tried various things but the only thing I found is to change base of the second log and use a calculator to evaluate it as:
#log_7(x)=ln9/ln2=3.17# (where #ln# is the natural log).
so using the definition of logarithm:
#x=7^3.17=477.5#

Probably there are more elgant ways but...