SOLUTION: 5x³×(2x)²/20x⁴ if x ≠ 0 3 to the power of (x+2) is equal to 27

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Question 1207324: 5x³×(2x)²/20x⁴ if x ≠ 0
3 to the power of (x+2) is equal to 27
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%285x%5E3%282x%29%5E2%29%2F%2820x%5E4%29 if x ≠ 0

%285x%5E3%282x%29%5E2%29%2F%2820x%5E4%29
=%285x%5E3%2A4x%5E2%29%2F%2820x%5E4%29+
=%2820x%5E5%29%2F%2820x%5E4%29+
=%28cross%2820%29x%5E%28cross%285%291%29%29%2F%28cross%2820%29cross%28x%5E4%29%29+
=x


3%5E%28x%2B2%29+=+27.......27=3%5E3
3%5E%28x%2B2%29+=3%5E3....if base same, exponents are same too
x%2B2=3
x=3-2
x=1