Question

How do you solve `log_2 x=log_5 3`?

Answer 1

`x = 2^(ln(3)/ln(5)) ~~ 1.605`

Explanation:

By the change of base formula `log_5(3) = ln(3)/ln(5)`

Then `x = 2^(log_2 x) = 2^(log_5(3)) = 2^(ln(3)/ln(5))`