document.write( "Question 1154: What is the single logarithm of ln 5 +2ln x-3ln(x2+1)?\r
\n" );
document.write( "\n" );
document.write( "What is the single logarithm of 2log5x+3log5y-4log5z \n" );
document.write( "
Algebra.Com's Answer #355 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Use n loga b = loga b^n \n" ); document.write( " ln 5 + 2ln x-3ln(x2+1) \n" ); document.write( "= ln 5 + ln x^2 + ln (x^2+1)^(-3) \n" ); document.write( " then use loga x +loga y = loga x*y \n" ); document.write( "= ln [5 * x^2 *(x^2+1)^(-3)] \n" ); document.write( "= ln [5 x^2 /(x^2+1)^3] (negative exponent)\r \n" ); document.write( "\n" ); document.write( " Similarly: \n" ); document.write( " 2log5x+3log5y-4log5z \n" ); document.write( " = log5 x^2 + log5 y^3 + log5 z^(-4) \n" ); document.write( " = log5 [x^2 * y^3 * z^(-4)] \n" ); document.write( " = log5 [x^2 y^3 / z^4]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "? What is the single logarithm of 0 solutions \n" ); document.write( " \n" ); document.write( " |