Question

Hello, I need some assistance with this homework question please for precalculusHW Q44

Answer 1

Case: Logarithms

A logarithm is the opposite of power. In other words, if we take a logarithm of a number, we undo exponentiation.

We consider the log of power law below:

`\begin{gathered} \log_aa^x=x\log_aa \\ =x \end{gathered}`

Given:

`\log_33^(66)`

Required: Without using calculators, use log laws to answer

Method:

Applying the law above,

`\begin{gathered} \log_33^(66) \\ =66\log_33 \\ =66*1.(Remember\text{ same base law: }\log_33=1 \\ =66 \end{gathered}`

Final answer:

66