document.write( "Question 1087279: Step-by-step solution of:\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #701535 by rothauserc(4718)![]() ![]() 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( " |