# 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)?”** .

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## 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)

**CORRECT ANSWER: C**

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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.