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About Ahmed Salami
Expertise
I can provide good answers to questions dealing in almost all of mathematics especially from A`Level downwards. I can as well help a good deal in Physics with most emphasis directed towards mechanics.

Experience
An engineering graduate. I have been doing maths and physics all my life.

You are here: Experts > Science > Mathematics > Advanced Math > solve for x

Advanced Math - solve for x

Expert: Ahmed Salami - 11/4/2009

Question
27^x^2 > 9^x^3

Answer
Hi Katharine,
27^x² > 9^x³
(3^3)^x² > (3^2)^x³
3^(3x²) > 3^(2x³)
Now,
3x² > 2x³
3x² - 2x³ > 0
x²(3x - 2) > 0
Notice here that x² is always positive and so the sign of x²(3x - 2) only depends on (3x - 2).
Therefore,
3x - 2 > 0
x > 3/2

Regards

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