Mathematics: Which expression is equivalent to log3(x + 4)? log3 - log(x + 4) log12 + logx log3 + log(x + 4) log 3/log(x+4)

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

Ответ:

puppycity78

14.03.2022

Mathematics

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 ,

$\log{(a \cdot b)} = \log{(a)} + \log{(b)}$ .

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, 3(x + 4) is the number in the logarithm $\log{[3(x + 4)]}$ . Since is a product of the two numbers and (x + 4) , the logarithm $\log{[3(x + 4)]}$ can be split into two. By the logarithm product rule,

$\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}$ .

However, $\log{(x + 4)}$ 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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Ответ:

CoreyHammond6247

09.06.2020

Mathematics

The value of m for n = -2 would be 13.
The value of m for n = 0 would be 7.
The value of m for n = 1 would be 4.

m + 3(-2) = 7
m + (-6) = 7
m - 6 = 7
m = 13

m + 3(0) = 7
m + 0 = 7
m = 7

m + 3(1) = 7
m + 3 = 7
m = 4

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Which expression is equivalent to log3(x + 4)?
log3 - log(x + 4)
log12 + logx
log3 + log(x + 4)
log 3/log(x+4)

Ответ:

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