log b ab =15, then log a^b =

Answer 1

log_b(ab) = log_ba + log_bb = log_ba + 1 = 15. So, log_ba = 14

Using the change of base formula (from base b to base a), log_ba = log_aa / log_ab = 14

So, 1 / log_ab = 14

Therefore, log_ab = 1/14