logarithm of an equation

Question

find the logarithm equation of log to the base a x=2 log to base a 3+log to base a 5.

Answer 1

Given :

Apply power property of logarithm : n log a = log a ^n .

Apply product property of logarithm : log (ab ) = log a + log b.

Apply one - to - one property of logarithm : log a = log b ⇔ a = b.

.

Solution of the equation is .