document.write( "Question 782294:  Solve for x using logs.\r
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document.write( "8^x = e^x+8.\r
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document.write( "round to the nearest two decimal places. \n" );
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| Algebra.Com's Answer #476420 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! Solve for x using logs. \n" ); document.write( "Assume the problem is \n" ); document.write( " \n" ); document.write( "Using natural logs we have \n" ); document.write( "x*ln(8) = (x+8)*ln(e) \n" ); document.write( "the ln of e is one so we have \n" ); document.write( "x*ln(8) = x + 8 \n" ); document.write( "ln(8) = \n" ); document.write( "Find the ln of 8 \n" ); document.write( "2.079 = \n" ); document.write( "mult both sides by x \n" ); document.write( "2.079x = x + 8 \n" ); document.write( "2.079x - x = 8 \n" ); document.write( "1.079x = 8 \n" ); document.write( "x = \n" ); document.write( "x = 7.414 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this on your calc \n" ); document.write( "enter 8^7.414 = 4960314 \n" ); document.write( "enter e^(7.414+8) = 4945556, (log inaccuracy) \n" ); document.write( " |