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
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
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Cheers,
Stan H.
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