document.write( "Question 571026: solve for x: log(base 4) x^9=6 \n" ); document.write( "
Algebra.Com's Answer #367902 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Use the definition of logarithms to write in exponential form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, log(base 4) x^9 = 6 becomes 4^6 = x^9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We now solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4^6 = 4096\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4096 = x^9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take ninth root of both sides of the equation.\r \n" ); document.write( "\n" ); document.write( "The answer for x is 2(9throot{8}) or in decimal form x is approximately \n" ); document.write( "2.5198 and that's it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |