document.write( "Question 1000088: Log81^x=9 \n" ); document.write( "
Algebra.Com's Answer #617580 by Theo(13342) You can put this solution on YOUR website! log(81^x) = 9 \n" ); document.write( "since log(81^x) = x*log(81), this equation becomes: \n" ); document.write( "x*log(81) = 9 \n" ); document.write( "divide both sides of this equation by log(81) to get: \n" ); document.write( "x = 9/log(81) \n" ); document.write( "use your calculator to find log(81) to get: \n" ); document.write( "x = 9/1.908485019 \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 4.715782367\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "log(81^x) = 9 becomes: \n" ); document.write( "log(81^(4.715782367)) = 9 which becomes: \n" ); document.write( "log(1,000,000,000) = 9 which becomes: \n" ); document.write( "9 = 9\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that x = 1,000,000,000 which is the same as x = 10^9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |