What is the value of x when f(x) = 9?

Mvanle asked Oct 14, 2023

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Mvanle asked Oct 14, 2023

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12 votes

ANSWER :

A. 2

EXPLANATION :

From the problem, we have the function :

when f(x) = 9 :

$\begin{gathered} f(x)=3^(^x) \\ 9=3^x \end{gathered}$

Note that 9 is 3^2

$\begin{gathered} 9=3^x \\ 3^2=3^x \\ \text{ Since the bases are equal, the exponents are equal too.} \\ 2=x \\ x=2 \end{gathered}$

Homersimpson answered Oct 19, 2023

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