Simplification of logarithm [From chat group]

[spmpaper]

How to simplify this?

[Alex]

Hi, I have two different solutions to this question.

I will use the following identity to convert logarithms to different bases.

First, if we were to convert all of them to base 10, we can easily plug the numbers into calculator and solve for the answer, which is 5/42.

[Alex]

The second solution doesn’t require calculator, but will require good mastery of logarithms and fraction manipulation in order to solve the equations carefully.

Hope this helps