document.write( "Question 372029: Solve:
\n" ); document.write( "log base 4 (X) + Log base 8 (x) = 1
\n" ); document.write( "ln X/ln 4 + ln X/ln 8=1
\n" ); document.write( "2 ln X/2 ln 4 + ln X/ln 8 = 2
\n" ); document.write( "ln X^2 + ln X = 2 ln 8
\n" ); document.write( "ln X^2 + ln X - 2 ln 8 = 0
\n" ); document.write( "ln X^2(x)-2 ln 8 = 0
\n" ); document.write( "ln X^3 - 2 ln 8 = 0
\n" ); document.write( "ln X^3 / 2 ln 8 = 0
\n" ); document.write( "ln X^3/ln 64
\n" ); document.write( "I am not sure this is done right????? \n" ); document.write( "

Algebra.Com's Answer #265017 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%284%2C%28X%29%29%2Blog%288%2C%28X%29%29=1\"$
\n" ); document.write( " $\"y1%2By2=1\"$
\n" ); document.write( "By definition,
\n" ); document.write( " $\"y1=log%284%2C%28X%29%29\"$
\n" ); document.write( " $\"X=4%5E%28y1%29\"$
\n" ); document.write( " $\"X=%282%5E2%29%5Ey1\"$
\n" ); document.write( " $\"X=2%5E%282%2Ay1%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y2=log%288%2C%28X%29%29\"$
\n" ); document.write( " $\"X=8%5E%28y2%29\"$
\n" ); document.write( " $\"X=%282%5E3%29%5Ey2\"$
\n" ); document.write( " $\"X=2%5E%283%2Ay2%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "They both equal $\"X\"$ so set them equal to each other.
\n" ); document.write( " $\"2%5E%282%2Ay1%29=2%5E%283%2Ay2%29\"$
\n" ); document.write( " $\"2%2Ay1=3%2Ay2\"$
\n" ); document.write( " $\"y1=%283%2F2%29y2\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"y1%2By2=1\"$
\n" ); document.write( " $\"%283%2F2%29y2%2By2=1\"$
\n" ); document.write( " $\"%285%2F2%29y2=1\"$
\n" ); document.write( " $\"y2=2%2F5\"$
\n" ); document.write( " $\"log%288%2C%28X%29=2%2F5%29\"$
\n" ); document.write( " $\"highlight%28X=8%5E%282%2F5%29%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );