SOLUTION: olve the exponential equation by using the property that bx = by implies x = y, for b> 0 and b ≠ 1 27^1/3x=(1/9)^2x-1

Algebra ->  Human-and-algebraic-language -> SOLUTION: olve the exponential equation by using the property that bx = by implies x = y, for b> 0 and b ≠ 1 27^1/3x=(1/9)^2x-1      Log On


   



Question 1088327: olve the exponential equation by using the property that bx = by implies x = y, for b> 0 and b ≠ 1
27^1/3x=(1/9)^2x-1

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
27^1/3x=(1/9)^2x-1
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If you mean
27%5E%28x%2F3%29+=+%281%2F9%29%5E%282x-1%29
3%5Ex+=+%283%5E-2%29%5E%282x-1%29
3%5Ex+=+3%5E%28-4x%2B2%29
x = -4x + 2
5x = 2
x = 2/5