Which of these expressions is equivalent to log (12^8) A. Log (8) + Log (12) B. Log (8)- Log (12) C. 8Log (12) D.Log(8) Log (12)

Question

asked Jun 15, 2019 204k views

2 Answers

Janis Lankovskis · Answer 1 · 2019-06-19T16:48:11+0000

Answer:

The correct option is C.

Explanation:

The given expression is

$\log (12^8)$ ..... (1)

According to the property of logarithmic expressions

$\log(a^b)=b\log (a)$ ... (2)

From (1) and (2), we get

a=12,b=8

Using the property of logarithmic expressions, the given expression can be written as

$\log(12^8)=8\log (12)$

Therefore the correct option is C.