document.write( "Question 1135279: If 2^x = 4^y = 8^z and (1/2x)+(1/4y)+(1/8z)=4, find the value of x. \n" ); document.write( "
Algebra.Com's Answer #752908 by Alan3354(69443)\"\" \"About 
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If 2^x = 4^y = 8^z and (1/2x)+(1/4y)+(1/8z)=4, find the value of x.
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\n" ); document.write( "\n" ); document.write( "2^x = 2^(2y) = 2^(3z)\r
\n" ); document.write( "\n" ); document.write( "x = 2y = 3z\r
\n" ); document.write( "\n" ); document.write( "y = x/2\r
\n" ); document.write( "\n" ); document.write( "z = x/3
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\n" ); document.write( "(1/2x)+(1/4y)+(1/8z)=4
\n" ); document.write( "Is it (1/2)x or 1/(2x) ?
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\n" ); document.write( "1/(2x) + 1/(4*(x/2)) + 1/(8*(x/3)) = 4\r
\n" ); document.write( "\n" ); document.write( "1/(2x) + 1/(2x) + 1/(8x/3) = 4\r
\n" ); document.write( "\n" ); document.write( "1/2 + 1/2 + 3/8 = 4x\r
\n" ); document.write( "\n" ); document.write( "4x = 11/8
\n" ); document.write( "x = 11/32
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