shannonwegley shannonwegley

22-01-2020
Advanced Placement (AP)

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What is a solution for the equation 2-3^-x=-1

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sanehib sanehib

22-01-2020

Answer:

x= - ln 5 / ln 3

Explanation:

2-3^-x=-1

-3^-x=-5 (Subtract two from each side)

3^-x=5 (Divide by -1)

-x (ln 3)= ln 5 (Take the natural log of each side, -x comes down to the front)

-x=ln 5 / ln 3

x= -(ln 5 / ln 3) --> x= - ln 5/ ln3

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