document.write( "Question 1087279: Step-by-step solution of:\r
\n" ); document.write( "\n" ); document.write( "\"+5%5E%282x%2B1%29+=+25%5Ex%2A5%5E%283%2Ax%29+\"
\n" ); document.write( "

Algebra.Com's Answer #701535 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
5^(2x+1) = 25^(x) * 5^(3x)
\n" ); document.write( ":
\n" ); document.write( "Note 25^(x) * 5^(3x) = (5^2)^(x) * 5^(3x) = 5^(2x) * 5^(3x) = 5^(5x)
\n" ); document.write( ":
\n" ); document.write( "5^(2x+1) = 5^(5x)
\n" ); document.write( ":
\n" ); document.write( "take logarithms of both sides of =
\n" ); document.write( ":
\n" ); document.write( "log(5) (2x+1) = 5log(5) (x)
\n" ); document.write( ":
\n" ); document.write( "divide both sides of = by log(5)
\n" ); document.write( ":
\n" ); document.write( "2x + 1 = 5x
\n" ); document.write( ":
\n" ); document.write( "3x = 1
\n" ); document.write( ":
\n" ); document.write( "*******
\n" ); document.write( "x = 1/3
\n" ); document.write( "*******
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );