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Hello! I need some assistance with this homework question for precalculus, please?HW Q20

Hello! I need some assistance with this homework question for precalculus, please-example-1

1 Answer

1 vote

According to the logarithm definition:


\log_bc=a\Leftrightarrow b^a=c

In this question:


\begin{gathered} 3.6=6^x \\ which\text{ }is\text{ }the\text{ }same\text{ }as \\ 6^x=3.6 \end{gathered}

Then, comparing with the definitionm:

a = x

b = 6

c = 3.6

And, transforming to the log form:


\begin{gathered} \begin{equation*} \log_bc=a \end{equation*} \\ \log_6(3.6)=x \end{gathered}

Answer:


\operatorname{\log}_(6)(3.6)= x

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