SOLUTION: I am stuck on this problem. I am supposed to solve for x: e^0.5x=3^(1-2x) Thanks for any assistance you can give.

Algebra.Com
Question 534035: I am stuck on this problem. I am supposed to solve for x:
e^0.5x=3^(1-2x)
Thanks for any assistance you can give.

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve for x:
Take the natural log of both sides.
Apply the "power rule" for logarithms.
Substitute and approx.
Evaluate.
Add 2.2x to both sides.
Divide both sides by 2.7


approx.

RELATED QUESTIONS

My problem says to solve each equation in the real number system. The problem says... (answered by venugopalramana)
I have worked different variations for my online homework and am still stuck on this... (answered by richard1234)
I am looking for how I get the answer for: ln(5x) = 3 + ln(x-1) I move the natural... (answered by rothauserc,solve_for_x)
Hi! I need help on an inequality involving absolute value. The problem is... (answered by stanbon)
I am stuck on the following problem: {{{2^x = 3^(x-1)}}} Thank you very much for... (answered by Earlsdon)
Hello I am working with the Descartes rule of signs. I am supposed to discuss the... (answered by stanbon)
Hi - my tutor is out of town and am stuck on this problem. Solve this sytem of equations (answered by Alan3354)
I'm stuck on a question that I believe involves imaginary numbers. The problem is to... (answered by kingme18)
Use the substitution method to solve the systems of equations. 2x+y=4 2x-y=0 I am... (answered by Mathtut)