document.write( "Question 135161: Solve: 4^(1-x)=3*5^x
\n" ); document.write( "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
\n" ); document.write( " 4/3=(4*5)^x
\n" ); document.write( " x=log(4/3)/log20
\n" ); document.write( " x=0.096... But my teacher marked it wrong :(
\n" ); document.write( "

Algebra.Com's Answer #98993 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve: 4^(1-x)=3*5^x
\n" ); document.write( "Take the log of both sides to get:
\n" ); document.write( "(1-x)log4 = log3 + xlog5
\n" ); document.write( "log4-xlog4 = log3 + xlog5
\n" ); document.write( "x(log4-log5) = log2-log4
\n" ); document.write( "x(log(4/5)) = log(1/2)
\n" ); document.write( "x = [log(1/2)]/[log(4/5)]
\n" ); document.write( "x = 3.1063
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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