SOLUTION: 1. If 6^x = 5, what does 6^-2x equal? 2. if 7^x=3, what does 7^-2x equal?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 1. If 6^x = 5, what does 6^-2x equal? 2. if 7^x=3, what does 7^-2x equal?      Log On


   

Question 1188792: 1. If 6^x = 5, what does 6^-2x equal?
2. if 7^x=3, what does 7^-2x equal?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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1. If 6^x = 5, what does 6^-2x equal?
2. if 7^x=3, what does 7^-2x equal?
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(1)  If 6%5Ex = 5,  then  6%5E%28-2x%29 = 1%2F%286%5E%282x%29%29 = 1%2F%28%286%5Ex%29%5E2%29 = 1%2F5%5E2 = 1%2F25.    ANSWER



(2)  The second problem is a TWIN of the first one.

     Solve the second problem on your own by the SAME way.

Answered and explained.