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

which expression is equivalent to log3(x 4)?

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

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

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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.

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