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1 answer:
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Answer:
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.