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

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.