Which of the following expressions is equivalent to the expression below?

log 7x4

Question

Which of the following expressions is equivalent to the expression below?

log 7x4

legomyego180 · Answer

http://www.purplemath.com/modules/logrules.htm

alissad · Answer

A.	log 7 - 4 log x
 		B.	4 log 7 + log x
 		C.	4 log 7 - log x
 		D.	log 7 + 4 log x

alissad · Answer

those are the answers it gives

legomyego180 · Answer

I think its B but I would double check. Its been a while since Ive done this.

legomyego180 · Answer

this is $$\log 7x^4$$
right?

alissad · Answer

yeah

legomyego180 · Answer

The correct answer is D

legomyego180 · Answer

Review and memorize log rules.

$$ \log x^4 = 4 \log x$$

You can rewrite exponets in front

legomyego180 · Answer

But you have to keep whatever was raised to the power attached, which is important in this problem.

What I mean is that it has to be 4 log x because the x was raised to the 4. It cant be 4 log 7 by itself.