SOLUTION: (a) 3^(2x) = 5 (b) 2e^(x−1) = 7 (c) 5^(1−x) = 10^x

Algebra ->  Equations -> SOLUTION: (a) 3^(2x) = 5 (b) 2e^(x−1) = 7 (c) 5^(1−x) = 10^x      Log On


   

Question 382220: (a) 3^(2x) = 5

(b) 2e^(x−1) = 7

(c) 5^(1−x) = 10^x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(a) 3^(2x) = 5
2x*log(3) = log(5)
x = log(5)/(2log(3))
It's calculator work from there.
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(b) 2e^(x-1) = 7
e%5E%28x-1%29+=+3.5
x-1 = ln(3.5)
etc
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(c) 5^(1-x) = 10^x
(1-x)*log(5) = x
log(5) - x*log(5) = x
log(5) = x + x*log(5)
x*(1 + log(5)) = log(5)
x = log(5)/(log(5) + 1)
Calculator work