document.write( "Question 930565: log10e5+log10(5x+1)=log10(x+5)+1 find x \n" ); document.write( "
Algebra.Com's Answer #565100 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
if you have this:\r
\n" ); document.write( "\n" ); document.write( "\"log%2810%2Ce%5E5%29%2Blog%2810%2C%285x%2B1%29%29=log%2810%2C%28x%2B5%29%29%2B1\" then \"x\" will be:\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2Ce%5E5%285x%2B1%29%29=log%2810%2C10%28x%2B5%29%29\" ...since log same,\r
\n" ); document.write( "\n" ); document.write( "\"e%5E5%285x%2B1%29=10%28x%2B5%29\" is same too\r
\n" ); document.write( "\n" ); document.write( "\"e%5E5%285x%2B1%29=10%28x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"5xe%5E5%2Be%5E5=10x%2B50\"\r
\n" ); document.write( "\n" ); document.write( "\"5xe%5E5-10x=50-e%5E5\"\r
\n" ); document.write( "\n" ); document.write( "\"%285e%5E5-10%29x=50-e%5E5\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-%28e%5E5-50%29%2F%285e%5E5-10%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-%28e%5E5-50%29%2F5%28e%5E5-2%29\"........exact solution\r
\n" ); document.write( "\n" ); document.write( "or,you can substitute => \"e%5E5=148.4\" and get approximate solution\r
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\n" ); document.write( "\n" ); document.write( "\"148.4%285x%2B1%29=10%28x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"742x%2B148.4=10x%2B50\"\r
\n" ); document.write( "\n" ); document.write( "\"742x-10x=50-148.4\"\r
\n" ); document.write( "\n" ); document.write( "\"732x=-98.4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-98.4%2F732\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-0.1344262295081967%29\"\r
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\n" ); document.write( "\n" ); document.write( "if you plug in this solution in \"log%2810%2Ce%5E5%29%2Blog%2810%2C%285x%2B1%29%29=log%2810%2C%28x%2B5%29%29%2B1\" and you check it, you will get \"1.687172570169473=1.68713406159622243\" which could be rounded to \"1.6871=1.6871\" to be same (error is to small)\r
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