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masya89 [10]
3 years ago
13

Evaluate the log without a calculator ( Show your work )

7B9%7D" id="TexFormula1" title="log_{3} \frac{1}{9}" alt="log_{3} \frac{1}{9}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Gnom [1K]3 years ago
6 0

Answer:

-2

Step-by-step explanation:

log3 (1/9)

Replace 1/9 with a power of 3

1/9 = 3^-2

log3 (3^-2)

Using the power of power rule  loga (b^c) = c log a(b)

-2 log3(3)

We know that loga(a) =1

-2 (1)

-2

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GIVEN:

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ANSWER:

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Option C is the correct answer.

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