Solve the exponential equation. Round your answer to the nearest hundredth:9n = 49

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asked Feb 14, 2023 77.9k views

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Satuser · Answer 1 · 2023-02-20T20:31:46+0000

Answer:

Step-by-step explanation: We have to solve the exponential equation, the equation provided is as follows:

We will resort to the logarithmic properties:

$\begin{gathered} \log_9(9^n)=\log_9(49) \\ \\ n\operatorname{\log}_9(9^)=\operatorname{\log}_9(49) \\ \\ n=\frac{\operatorname{\log}_9(49)}{\operatorname{\log}_9(9^)} \\ \\ n=\log_9(49) \\ \\ n=1.7712437491614 \\ \\ n=1.77 \end{gathered}$

Solve the exponential equation. Round your answer to the nearest hundredth:9n = 49

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