If a and b are positive real numbers, show that log_a b= 1/ log_b a
jeew-m | Certified Educator
Let us say;
`y = log_ab`
Now remove log from right side.
`a^y = b`
Now take log on both side with respect to base b.
`log_b(a^y) = log_bb`
`ylog_ba = 1`
`y = 1/(log_ba)`
We know that `y = log_ab`
`log_ab = 1/(log_ba)` answer as required.