Question

which of these expressions is equivalent to log (12^8)

A. Log (8) + Log (12)
B. Log (8)- Log (12)
C. 8*Log (12)
D.Log(8) * Log (12)

Answer 1

c......... . .........

Answer 2

Answer:

The correct option is C.

Step-by-step 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.