Question

$\frac{log _{3}13 }{log _{81} 13}$

Answer 1

log3 13=1/log13 3
log81 13=1/log13 81
1/log13 3 : 1/log13 81= log13 81/log13 3 = log3 81= 4

Answer 2

$\frac{log_313}{log_{81}13}= \frac{log_313}{log_{3^4}13}= \frac{log_313}{ \frac{1}{4}log_313}=4$