document.write( "Question 407594: Solve for x, given the equation, 5+3ln(x) = 7ln(x^2). Answer with three significant digits. \n" ); document.write( "
Algebra.Com's Answer #287344 by lwsshak3(11628)\"\" \"About 
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Solve for x, given the equation, 5+3ln(x) = 7ln(x^2). Answer with three significant digits.\r
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\n" ); document.write( "\n" ); document.write( "5+3ln(x) = 7ln(x^2)
\n" ); document.write( "7ln(x^2)-3ln(x)=5
\n" ); document.write( "ln(x^2)^7-lnx^3=5
\n" ); document.write( "lnx^14-lnx^3=5
\n" ); document.write( "ln(x^14/x^3)=5
\n" ); document.write( "convert to esponential form,
\n" ); document.write( "e^5=x^11
\n" ); document.write( "x=e^(5/11)
\n" ); document.write( "x=1.5755
\n" ); document.write( "ans:
\n" ); document.write( "x=1.58
\n" ); document.write( "..
\n" ); document.write( "Check:
\n" ); document.write( "5+3lnx=5+3ln(1.5755)=6.36
\n" ); document.write( "7ln(x^2)=7ln(1.5755^2)=6.36
\n" ); document.write( "confirmed: left-hand side= right-hand side\r
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