Question

How do you solve `x=log_12 144`?

Answer 1

`x=2`

Explanation:

Even if there's nothing to "solve", strictly speaking, I assume you simply want to simplify `log_{12}(144)`, and it's very simple:

`log_{a}(b)=x` means that `x` is the exponent that you must give to `a` to obtain `b`. Namely: `a^x=b`.

This means that, in your case, `log_{12}(144)` is the exponent that you must give to `12` to obtain `144`, and since `144=12^2`, that exponent is `2`. So,

`x=log_{12}(144)=2`