SOLUTION: Need help solving for x: 2^(3x-2) = 3^(2x+1)

Question 616809: Need help solving for x:
2^(3x-2) = 3^(2x+1)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Need help solving for x:
2^(3x-2) = 3^(2x+1)
-----
Take the log of both sides:
(3x-2)*log(2) = (2x+1)*log(3)
----
Get the x-terms together:
3x*log(2) - (2x)*log(3) = log(3)-2log(2)
---
x[3log(2) - 2log(3)] = log(3)-2log(2)
---
x = log[3/4]/log[8/9]
---
x = 2.4425
=================
Cheers,
Stan H.
===============
RELATED QUESTIONS
I need help solving this rational equation... (answered by jsmallt9)

I need help solving for x:... (answered by Edwin McCravy)

i need help solving linear equations i dont remember how to exactly. help!!!... (answered by oscargut)

Need help understanding the fractions in these solving and checking |1/3x + 3| = -1 (answered by B-Rod33)

I need help solving: 7x-{3[4(x-2)-3(x+1)]-5(2x-3)} (answered by checkley71)

i need help solving these quadratic equations using the quadratic formula. 2x^2 - 5x = 3 (answered by bucky)

i need help solving these quadratic equations using the quadratic formula. 2x^2 - 5x = 3 (answered by HyperBrain)

i need help solving these quadratic equations using the quadratic formula. 2x^2 - 5x = 3 (answered by josmiceli)

1)3x^2-19x+6 2) 2x^2+11x-4 3)5x^2-13x-6 Need help factoring, not... (answered by ewatrrr)