Solve the 2x Equation: 2^2x-12(2)^x+32=0

Thread starter thomasrules
Start date Feb 24, 2005

AI Thread Summary

The equation 2^{2x}-12(2)^x+32=0 can be transformed by letting u = 2^x, making it a quadratic equation in terms of u. By substituting u into the equation, it simplifies to u^2 - 12u + 32 = 0. This quadratic can be solved using the quadratic formula or factoring. The solutions for u can then be converted back to find the values of x. The discussion highlights the importance of recognizing the quadratic form to solve the equation effectively.

Feb 24, 2005

thomasrules

Solve This!

This question is driving me crazy. I've tried so many things...

2^{2x}-12(2)^x+32=0

PLEASE HELP ME PLEASE I've got a test tommorow :D

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Feb 24, 2005

Justin Lazear

Let u = 2^x. Note that the equation is quadratic in u.

--J

Feb 24, 2005

thomasrules

omfg so gay

Feb 24, 2005

sportsguy3675

? Justin answered your question...taught me a thing or two as well...

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