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

1 Answer
Mar 20, 2016

Answer:

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#.