SOLUTION: How do I solve this equation? 4 to the power of x times two to the power of x squared, equal to 27 to the power of x.

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: How do I solve this equation? 4 to the power of x times two to the power of x squared, equal to 27 to the power of x.       Log On

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Question 150544This question is from textbook Intermediate Algebra
: How do I solve this equation?
4 to the power of x times two to the power of x squared, equal to 27 to the power of x. This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(12706) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve this equation?
4 to the power of x times two to the power of x squared, equal to 27 to the power of x.
:
4%5Ex%2A2%5Ex%5E2+=+27%5Ex
:
Using the log equiv of exponents
x%2Alog%284%29+%2B+x%5E2%2Alog%282%29+=+x%2Alog%2827%29
:
.602x + .301x^2 = 1.431x
:
divide equation by x
.602 + .301x = 1.431
.301x = 1.431 - .602
x = .829%2F.301
x ~ 2.755