document.write( "Question 242325: Had trouble with a few problems similar to this one..\r
\n" ); document.write( "\n" ); document.write( "Solve: 5^(x+2)= 4^(l-x)
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Algebra.Com's Answer #178027 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve
\n" ); document.write( "\"5%5E%28x%2B2%29\" = \"4%5E%28l-x%29\"
\n" ); document.write( "Use logs
\n" ); document.write( "\"log%285%5E%28x%2B2%29%29\" = \"log%284%5E%28l-x%29%29\"
\n" ); document.write( "log equiv of exponents
\n" ); document.write( "\"%28x%2B2%29%2Alog%285%29\" = \"%281-x%29%2Alog%284%29\"
\n" ); document.write( "Find the logs
\n" ); document.write( ".69897(x+2) = .60206(1-x)
\n" ); document.write( ":
\n" ); document.write( ".69897x + 1.39794 = .602061 - .60206x
\n" ); document.write( ":
\n" ); document.write( ".69897x + .60206x = .602061 - 1.39794
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\n" ); document.write( "1.30103x = -.79588
\n" ); document.write( ":
\n" ); document.write( "x = \"%28-.79588%29%2F1.30103\"
\n" ); document.write( "x = -.61173
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\n" ); document.write( "Check solution on calc:
\n" ); document.write( "enter 5^(-.61173+2) = 9.34
\n" ); document.write( "enter 4^(1-(-.61173)) = 9.34; confirms our solution
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