document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888691>Question 888691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to find x and y : ln 2x + 10 = 2 ln 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537587 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=537587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(2x) + 10 = 2ln(2)\r<BR>\n" );
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document.write( "subtract 10 from both sides of the equation to get:\r<BR>\n" );
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document.write( "ln(2x) = 2ln(2) - 10\r<BR>\n" );
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document.write( "since 2ln(2) is equal to ln(2^2) = ln(4), your equation becomes:\r<BR>\n" );
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document.write( "ln(2x) = ln(4) - 10\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "ln(2x) = -8.613705639\r<BR>\n" );
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document.write( "this is true if and only if e^-8.613705639 = 2x\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 to get:\r<BR>\n" );
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document.write( "x = e^-8.613705639 / 2 which becomes:\r<BR>\n" );
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document.write( "x = 9.079985952 * 10^-5.\r<BR>\n" );
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document.write( "that should be your answer.\r<BR>\n" );
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document.write( "replace x in the original equation with that to see if the equation holds true.\r<BR>\n" );
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document.write( "original equation is:\r<BR>\n" );
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document.write( "ln(2x) + 10 = 2ln(2) which becomes:\r<BR>\n" );
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document.write( "ln(2*9.079985952 * 10^-5) + 10 = 2ln(2) which becomes:\r<BR>\n" );
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document.write( "1.386294361 = 1.386294361\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "i did not see a y in your equation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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