Solve for x log3 5 log3 2x 4SolutionWe have log3 5 log3 2x

Solution

We have log₃ 5 +log₃ (2x) = 4 so that log₃( 5*2x) = 4 ( as log m +log n = log mn)

or, log₃(10x) = 4. Hence 10x = 3⁴ ( on taking log to the base 3 of both sides, we get log₃(10x)= log₃(3⁴)= 4log₃(3) = 4).

Therefore, x = 3⁴/10 = 81/10 = 8.1