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)![]() ![]() ![]() You can put this solution on YOUR website! Solve for x, given the equation, 5+3ln(x) = 7ln(x^2). Answer with three significant digits.\r \n" ); document.write( "\n" ); document.write( "..\r \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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |