Question

Solve the equation. Round your answers to the nearest hundredth. 8^x=12

Exponential growth and decay
ANSWERED
asked 2021-05-01

Solve the equation. Round your answers to the nearest hundredth. \(8^x=12\)

Answers (1)

2021-05-02

\(\displaystyle{8}^{{x}}={12}\) Given equation.
\(\displaystyle{{\log{{8}}}^{{x}}=}{\log{{12}}}\) Take the log for both sides
\(\displaystyle{x}\cdot{\log{{8}}}={\log{{12}}}\) Power rule of logarithms
\(\displaystyle{x}={\left(\frac{{\log{{12}}}}{{\log{{8}}}}\right)}\) Divide both sided by log 8
\(x \sim 1.19\) Using calculator.

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