SOLUTION: What is 3^(3x) <= 9^(x^2)? Thanks in advance!

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Question 1009708: What is 3^(3x) <= 9^(x^2)?
Thanks in advance!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%5E%283x%29+%3C=+9%5E%28x%5E2%29
3%5E%283x%29+%3C=+%283%5E2%29%5E%28x%5E2%29
3%5E%283x%29+%3C=+3%5E%282x%5E2%29........if bases same, exponents are same too, so
3x+%3C=+2x%5E2
3x%2Fx+%3C=+2x%5E2%2Fx
3+%3C=+2x
3%2F2+%3C=+x
or
x%3E=3%2F2