Logarithms - change of base

Solve  log₅x – 2log_x5 = 1

In order for us to solve this question, we need to recall the change of base formula, which is:

We also know that we cannot have an unknown base. Hence, we need to change the log_x5 into log₅x.  Therefore, the equation can be expressed as:

Solving this gives:

And this is how we solve for logarithm questions with different base.

Hope this helps!