Answered

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Combine into a single logarithm: log25+log24+log23

Group of answer choices

log230

log60

log260

2log60

Sagot :

rvkacademic

Answer:

[tex]\log_2(60)[/tex]

which is the third choice

Step-by-step explanation:

To find the sum
[tex]\log_25 + \log_24+ \log_23[/tex]

we will use the logarithm property which states that

[tex]\log a + \log b = \log(ab)[/tex]

In other words, the logarithm of the product of multiple values is the sum of the logarithms of each value

Therefore
[tex]\log_25 + \log_24+ \log_23 = \log_2(5 *4*3)\\\\=\log_2(60)[/tex]

This corresponds to the third choice

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