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Problem Solving (PS) | If 3^(-x)+3^(-x)+3^(-x)=1, what is the value of x?

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Bunuel wrote:

If \(3^{-x}+3^{-x}+3^{-x}=1\), what is the value of x?

A. -1

B. -1/2

C. 1/3

D. 1/2

E. 1

3\(^{-x}\) =\(\frac{1}{3^{x}}\)

\(\frac{1}{3^{x}}\) +\(\frac{1}{3^{x}}\) +\(\frac{1}{3^{x}}\) = 1

\(\frac{1}{3}\) +\(\frac{1}{3}\) +\(\frac{1}{3}\) = 1

x = 1

Answer E
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