SOLUTION: i have this problem 2e^(4x-2)=9 i know that i can use the calculator to find (e) but what about x? thank you in advance! :-]

SOLUTION: i have this problem 2e^(4x-2)=9 i know that i can use the calculator to find (e) but what about x? thank you in advance! :-]

Algebra.Com

Question 203784:
i have this problem
2e^(4x-2)=9
i know that i can use the calculator to find (e) but what about x?
thank you in advance! :-]
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
You must apply "log rules":
2e^(4x-2)=9
e^(4x-2) = 9/2
Take the natural ln of both sides:
4x - 2 = ln(9/2)
4x = ln(9/2) + 2
x = [ln(9/2) + 2]/4
x = 0.876
RELATED QUESTIONS
Use a calculator to find an approximation to the nearest ten-thousandth. {{{10^e}}} (answered by stanbon,Alan3354)

Hello, Can someone help me with this "Completing the Square" problem? I know there's... (answered by josmiceli)

So, I am trying to figure out an equation and I've come to a point where I'm supposed to... (answered by MathLover1)

Please help! I have already done most of the work. Recently I asked about finding all... (answered by ikleyn)

I have a problem that states, "use the graph to find solutions to the equation" and the... (answered by checkley71)

Thank you in advance for helping me set up this problem. I have tried several different... (answered by scott8148)

Please help me solve this problem, I have answered most of the questions, but I would... (answered by stanbon,solver91311)

I have been working on this all week and I just cannot get it. I know this is short... (answered by user_dude2008)

Tutor, I was hoping you could help me with this problem. I can not seem to get it to (answered by rapaljer,bucky)