# which expression is equivalent to log3(x+4)?

Hello dear readers of negarinfo , Let’s jump in the question“which expression is equivalent to log3(x+4)?” .

Hope you enjoy the article. Thanks for being with us to the end.

## Which expression is equivalent to log3(x + 4)?

A.  log3 – log(x + 4)
B.  log12 + logx
C.  log3 + log(x + 4)
D.  log 3/log(x+4)

log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.

Step-by-step explanation:

By the logarithm product rule, for two nonzero numbers and , .

Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.

For example, is the number in the logarithm . Since is a product of the two numbers and , the logarithm can be split into two. By the logarithm product rule, .

However, cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.

more :  why did the professional dog walker go out of business answer key