SOLUTION: Solve the following exponential equations
a) 3^(2x-1) = 2^(x+2)
b) 2^(x+1) = 5^(1-x)
c) 2^(x+1)/5^(x) = 3
Can you please help me out? Thanks so much in advance:)
Question 867266: Solve the following exponential equations
a) 3^(2x-1) = 2^(x+2)
b) 2^(x+1) = 5^(1-x)
c) 2^(x+1)/5^(x) = 3
Can you please help me out? Thanks so much in advance:) Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Solve the following exponential equations
a) 3^(2x-1) = 2^(x+2)
(2x-1)*log(3) = (x+2)*log(2)
2x*log(3) - log(3) = x*log(2) + log(4)
2x*log(3) - x*log(2) = log(3) + log(4) = log(12)
x*log(9) - x*log(2) = log(3) + log(4) = log(12)
x*(log(9) - log(2)) = log(12)
x = log(12)/log(4.5)
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The others are similar.
b) 2^(x+1) = 5^(1-x)
c) 2^(x+1)/5^(x) = 3
