document.write( "Question 447553: solve 5^6^x = 112 \n" ); document.write( "

Algebra.Com's Answer #309525 by lwsshak3(11628) $\"\"$ $\"About$

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solve 5^6^x = 112
\n" ); document.write( "take log of both sides
\n" ); document.write( "6^x log5=log 112
\n" ); document.write( "6^x=log 112/log5
\n" ); document.write( "6^x=2.93177
\n" ); document.write( "take log of both sides again
\n" ); document.write( "xlog 6=log(2.93177)
\n" ); document.write( "x= log(2.93177)/log 6
\n" ); document.write( "x=.60031
\n" ); document.write( "Check:
\n" ); document.write( "5^6^.60031
\n" ); document.write( "=5^2.93178=112.00.. \n" ); document.write( "

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