document.write( "Question 198965: 5^2x+1+5^2x-3+5^2x-4=155/625 \n" ); document.write( "

Algebra.Com's Answer #149448 by stanbon(75887) $\"\"$ $\"About$

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5^2x+1+5^2x-3+5^2x-4=155/625
\n" ); document.write( "--------------
\n" ); document.write( "Multiply thru by 5^4 to get:
\n" ); document.write( "5^(2x+5) + 5^(2x+1) + 5^(2x) = 155
\n" ); document.write( "----------
\n" ); document.write( "Factor out 5^(2x) to get:
\n" ); document.write( "5^(2x)[5^5 + 5^1 + 1] = 155
\n" ); document.write( "5^(2x)[3125+6] = 155
\n" ); document.write( "5^2x = 155/3131
\n" ); document.write( "Take the log of both sides
\n" ); document.write( "2x(log(5) = log(155)-log(3131)
\n" ); document.write( "2x = -1.30535/0.69897
\n" ); document.write( "x = -0.9339..
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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