Question

Which of these expressions is equivalent to Log (12^8)?

A) Log (8) x Log (12)
B) Log (8) + Log (12)
C) 8 x Log (12)
D) Log (8) - Log (12)

Answer 1

C.

Explanation:

We can use the logarithmic property that says log(a^b) = b*log(a) to rewrite log(12^8) as:

log(12^8) = 8*log(12)

Therefore, the expression that is equivalent to log(12^8) is option C:

8 x Log (12)