Which of the following expressions is equivalent to the logarithmic expression below? log 4 (8/x^2) a. log 4 8 + 2 log 4 x b. 2 log 4 8 - log 4 x c. 2 log 4 8 + log 4 x d. log 4 8 - 2 log 4 x

Option D is correct.

is the expression which is equivalent to  

Step-by-step explanation:

Given the expression:            ......[1]

The notation of a logarithm is derived from exponents, all logarithmic rules for multiplication, division and raised to a power are based on those for exponents.

Using logarithmic rule:

; b is the base

By using logarithmic rule;

[1] ⇒  

=  

Therefore, the following expression is equivalent to the given logarithmic expression is;  

3201

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5