SOLUTION: Find the solution to the equation 8^(4x+1)=16^(4x+2)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the solution to the equation 8^(4x+1)=16^(4x+2)      Log On


   

Question 183591: Find the solution to the equation
8^(4x+1)=16^(4x+2)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the solution to the equation
8^(4x+1)=16^(4x+2)
(2^3)^(4x+1) = (2^4)^(4x+2)
2^(12x+3) = 2^(16x+8)
Equate the exponents to get:
12x+3= 16x+8
4x = -5
x = -5/4
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Cheers,
Stan H.