document.write( "Question 970602: 4^log3 base 9 + 9^log 4 base 2 = 10^log 83 base x, find x \n" ); document.write( "
Algebra.Com's Answer #593256 by khai(18)\"\" \"About 
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let 4^log3 base 9 =y {solve for y}
\n" ); document.write( "4^y = log3 base 9
\n" ); document.write( "2^(2y) = 2^-1 --------- {0.5 = 2^-}
\n" ); document.write( "2y = -1 ---- {same base}
\n" ); document.write( "y = -1/2\r
\n" ); document.write( "\n" ); document.write( "let 9^log4 base 2 = t {solve for t}
\n" ); document.write( "9^t = log4 base 2
\n" ); document.write( "9^t = 2
\n" ); document.write( "log2 base 9 = t
\n" ); document.write( "t = 0.3154648768\r
\n" ); document.write( "\n" ); document.write( "add the first two, you will get
\n" ); document.write( "-0.1845351232 = 10^log 83 base x
\n" ); document.write( "10^(-0.1845351232) = log 83 base x
\n" ); document.write( "0.6538300499 = log 83 base x
\n" ); document.write( "0.6538300499 = (log 83 base 10)/(log x base 10)
\n" ); document.write( "(log 83 base 10)/(0.6538300499) = (log x base 10)
\n" ); document.write( "2.935132903 = (log x base 10)
\n" ); document.write( "10^(2.935132903)= x
\n" ); document.write( "x = 861.2572741 \n" ); document.write( "
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