document.write( "Question 171549: 6^x=15 \n" ); document.write( "
Algebra.Com's Answer #126721 by midwood_trail(310) ![]() You can put this solution on YOUR website! 6^x = 15\r \n" ); document.write( "\n" ); document.write( "The exponential expression (that is 6^x) is already isolated on the left side of the equation. It is called an exponential expression because the exponent is a variable and not a number.\r \n" ); document.write( "\n" ); document.write( "We take the natural log of both sides of the equation.\r \n" ); document.write( "\n" ); document.write( "ln means NATURAL LOG for short.\r \n" ); document.write( "\n" ); document.write( "ln(6^x) = ln(15)\r \n" ); document.write( "\n" ); document.write( "Bring down the exponent on the left side.\r \n" ); document.write( "\n" ); document.write( "x(ln6) = ln(15)\r \n" ); document.write( "\n" ); document.write( "Divide both sides by the coefficient of x or ln6.\r \n" ); document.write( "\n" ); document.write( "x = ln15/ln6\r \n" ); document.write( "\n" ); document.write( "x is approximately 1.5114\r \n" ); document.write( "\n" ); document.write( "Did you folow?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |