Question

How do you simplify `5^[log_5 (6) + log_5 (7)]`?

Answer 1

42

Explanation:

The operation `(a^(log_a))` is successively an operation and its inverse operation. This is equivalent to multiplication by 1.

So, `a^(log_a x) =x`.
Also, log a + log b = log (ab)

Here, `5^(log_5(6)+log_5(7))=5^(log_5(42))=42`.