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

Sagot :

Answer:

[tex]n=1.77[/tex]

Explanation: We have to solve the exponential equation, the equation provided is as follows:

[tex]9^n=49[/tex]

We will resort to the logarithmic properties:

[tex]\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}[/tex]

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