SOLUTION: Says to Solve exponential equation using like bases. 2^3x+2=16^x I tried to solve it like my teacher showed an example. and what i did was took the exponents 3x+2=4 simplified

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Says to Solve exponential equation using like bases. 2^3x+2=16^x I tried to solve it like my teacher showed an example. and what i did was took the exponents 3x+2=4 simplified      Log On


   



Question 979399: Says to Solve exponential equation using like bases.
2^3x+2=16^x
I tried to solve it like my teacher showed an example. and what i did was
took the exponents 3x+2=4 simplified 16 to 4 because square rooting it
so i did 3x=2=4
3x=2
x=2/3
But then i checked my answer in the back of the book and it says x should be 2. I am not sure how they got that.
The section we are covering is titled exponential and logarithmic functions.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2^3x+2=16^x
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From your text:
2^(3x+2) = 16^x
2^(3x+2) = (2^4)^x = 2^4x
3x+2 = 4x
x = 2