document.write( "Question 782294: Solve for x using logs.\r
\n" ); document.write( "\n" ); document.write( "8^x = e^x+8.\r
\n" ); document.write( "\n" ); document.write( "round to the nearest two decimal places.
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Algebra.Com's Answer #476420 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve for x using logs.
\n" ); document.write( "Assume the problem is
\n" ); document.write( "\"8%5Ex\" = \"e%5E%28%28x%2B8%29%29\"
\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) = \"%28%28x%2B8%29%29%2Fx\"
\n" ); document.write( "Find the ln of 8
\n" ); document.write( "2.079 = \"%28x%2B8%29%29%2Fx\"
\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 = \"8%2F1.079\"
\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)
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