solve exponential equation 3^1-x=1/27

Please help me solve this problem.

3^1-x=1/27
in Algebra 2 Answers by Level 1 User (240 points)

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1 Answer

Question: Solve exponential equation 3^1-x=1/27

Now 27 = 3^3

Therefore, 1/27 = 1/(3^3) = 3^(-3)

Our exponential equation then becomes,

3^(1-x) = 3^(-3)

giving,

1-x = -3

x = 1 + 3

x = 4

by Level 11 User (81.5k points)

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