Question

How do you simplify `1/2 (log_bM + log_bN - log_bP)`?

Answer 1

`= log_b sqrt((MN)/P`

Explanation:

Since our bases are all equal we can use `log_b A + log_b B = log_b(AB)` and `log_b A - log_b B = log_b (A/B)`.

`= 1/2log_b((MN)/P)`

We can now use `alogn = logn^a`.

`= log_b((MN)/P)^(1/2)`

`= log_b sqrt((MN)/P)`

Hopefully this helps!