document.write( "Question 133333: Please solve e^x = 2 using steps \n" ); document.write( "
Algebra.Com's Answer #97524 by nycsharkman(136) ![]() You can put this solution on YOUR website! We can get a solution by changing the exponential equation to log form.\r \n" ); document.write( "\n" ); document.write( "Take natural log of both sides of the equation.\r \n" ); document.write( "\n" ); document.write( "In(e^x) = In(2)\r \n" ); document.write( "\n" ); document.write( "The left side becomes x because the natural log of e^x is just x.\r \n" ); document.write( "\n" ); document.write( "We now have this:\r \n" ); document.write( "\n" ); document.write( "x = In(2)\r \n" ); document.write( "\n" ); document.write( "Use calculator to find x.\r \n" ); document.write( "\n" ); document.write( "x = 0.693\r \n" ); document.write( "\n" ); document.write( "NOTE: I also want to add that the decimal number 0.6931471806 can be rounded off to three decimal places. This is why I selected the approximate value for x = 0.693\r \n" ); document.write( "\n" ); document.write( "Is this clear?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |