document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48041>Question 48041</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534373526/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution of the exponential equation,correct to 4 decimal places:\r<BR>\n" );
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document.write( "7^x/2 = 5^1-x\r<BR>\n" );
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document.write( "I got:<BR>\n" );
document.write( "log 7^x/2 = log 5^1-x<BR>\n" );
document.write( "x/2log7 = (1-x)log5\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31776 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I got:<BR>\n" );
document.write( "log 7^x/2 = log 5^1-x<BR>\n" );
document.write( "(x/2)log7 = (1-x)log5 <BR>\n" );
document.write( "Now you need to solve for \"x\", as follows:<BR>\n" );
document.write( "x/(1-x)=(2)(log5/log7) =2(0.827...)=1.65<BR>\n" );
document.write( "x=1.65-1.65x<BR>\n" );
document.write( "2.65x=1.65<BR>\n" );
document.write( "x=0.624...<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );