Question

Solve the equation `log_4 (x) + log_4(12) = log_4 (48)`?

Answer 1

We have:

`log_4 (x) + log_4(12) = log_4 (48)`

Using the law of logs `logAB = logA + logB`, we get:

`log_4(12x) = log_4 (48)`

Using `A=B iff log A = log B`:

`\ 12x = 48`
`:. x = 4`