SOLUTION: Solve: 4^(1-x)=3*5^x I hope someone can help me, I have been trying to figure this one out for a while:( This is what I got : 4/3^x=3*5 4/3=(4*5)^x

SOLUTION: Solve: 4^(1-x)=35^x I hope someone can help me, I have been trying to figure this one out for a while:( This is what I got : 4/3^x=35 4/3=(4*5)^x

Question 135161: Solve: 4^(1-x)=3*5^x
I hope someone can help me, I have been trying to figure this one out for a while:( This is what I got : 4/3^x=3*5
4/3=(4*5)^x
x=log(4/3)/log20
x=0.096... But my teacher marked it wrong :(
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve: 4^(1-x)=3*5^x
Take the log of both sides to get:
(1-x)log4 = log3 + xlog5
log4-xlog4 = log3 + xlog5
x(log4-log5) = log2-log4
x(log(4/5)) = log(1/2)
x = [log(1/2)]/[log(4/5)]
x = 3.1063
=================
Cheers,
Stan H.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
taking log __ (1-x)log(4)=log(3)+(x)log(5)

distributing __ log(4)-(x)log(4)=log(3)+(x)log(5)

subtracting log(3) and adding (x)log(4) __ log(4)-log(3)=(x)log(5)+(x)log(4)

factoring __ log(4)-log(3)=(x)(log(5)+log(4))

dividing by log(5)+log(4) __ (log(4)-log(3))/(log(5)+log(4))=x

your answer seems right, but I can't follow your solution...
RELATED QUESTIONS
Can you please help me solve this? I have been trying to for a while now.... (answered by LinnW)
I need help this is the last question on my homework and i have been siting here for 30... (answered by jim_thompson5910)
I cannot figure this one out and I have been trying for a while now. I need help please.... (answered by Edwin McCravy)
I got this problem wrong on a test and rather than telling me what I did wrong, the... (answered by sdmmadam@yahoo.com)
Here is the problem. I have been at it for an hour and still can't seem to figure it out. (answered by jim_thompson5910)
I am not sure that this is a quadratic equation. I do not know what this is. But I need... (answered by lwsshak3)
Please help. I'm in a pre-algebra class after having been out of school for 29 years and (answered by Nate)
The sum of three consecutive even numbers is 60. What are the the 3 numbers? These... (answered by ptaylor)
this is a problem that I have been trying to figure out for my homework and just cant get (answered by stanbon)