SOLUTION: solve for x:[(e^2) . ((e^x)^2)]/ (e^3x) = 2^(x-1)

Algebra ->  Equations -> SOLUTION: solve for x:[(e^2) . ((e^x)^2)]/ (e^3x) = 2^(x-1)      Log On


   

Question 1079460: solve for x:[(e^2) . ((e^x)^2)]/ (e^3x) = 2^(x-1)
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

solve for x:
%28%28e%5E2%29+%2A%28%28e%5Ex%29%5E2%29%29%2F+%28e%5E%283x%29%29+=+2%5E%28x-1%29+
%28e%5E2+%2Ae%5E%282x%29%29%2F+%28e%5E%283x%29%29+=+2%5E%28x-1%29+
%28e%5E%282%2B2x%29%29%2F+%28e%5E%283x%29%29+=+2%5E%28x-1%29+
e%5E%28%282%2B2x-3x%29%29=+2%5E%28x-1%29+

e%5E%282-x%29=+2%5E%28x-1%29+

log%28e%5E%282-x%29%29=+log%282%5E%28x-1%29+%29

%282-x%29log%28e%29=+%28x-1%29log%282+%29........log%28e%29=1

2-x=+x%2Alog%282+%29-log%282+%29

-x-+x%2Alog%282+%29=-log%282+%29-2.... both sides multiply by+-1

x%2Bx%2Alog%282+%29=log%282+%29%2B2

x%281%2Blog%282+%29%29=log%282+%29%2B2

x=%28log%282+%29%2B2%29%2F%281%2Blog%282+%29%29


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

solve for x:[(e^2) . ((e^x)^2)]/ (e^3x) = 2^(x-1)