(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

3^2x - 12 * (3^x) + 3^3 = 0

solve for x

3. The attempt at a solution

I did this question just by factoring it into a more convenient form

3^x ( 3^x - 12) = -27

which tells me x>2 (in oder to make the bracket term, and hence the product, negative), and that x is a very small number (since the left side blows up very fast), so by logic i tried x=3 and it works

Of course, i don't like solving questions by guessing. Unfortunately I am having a brain fart today and can't come up with a way to explicitly solve for x using algebra (i've tried factoring, exponent rules, lns, but I can't figure it out)

How do I solve explicitly for x?

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# Homework Help: Solve for x in the exponent

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