document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145713>Question 145713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem\r<BR>\n" );
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document.write( "3^x+4=5^x-1\r<BR>\n" );
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document.write( "(x+4)log3=(x-1)log5\r<BR>\n" );
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document.write( "xlog3+4log3=xlog5-1log5\r<BR>\n" );
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document.write( "4log3+1log5=xlog3-xlog5\r<BR>\n" );
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document.write( "x=4*0.47712+1*0.69897/0.69897-0.47712\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106341 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a small error in step 4:<BR>\n" );
document.write( "3^x+4=5^x-1 <BR>\n" );
document.write( "(x+4)log3=(x-1)log5 <BR>\n" );
document.write( "xlog3+4log3=xlog5-1log5 <BR>\n" );
document.write( "4log3+1log5=xlog3-xlog5 SHOULD BE 4log3 + 1 log 5= xlog5 - x log 3\r<BR>\n" );
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document.write( "Next, factor the x from the right side of the equation:\r<BR>\n" );
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document.write( "4log3 + 1 log 5= x(log5 -  log 3)\r<BR>\n" );
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document.write( "Last, divide both sides by (log5 - log3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284log3+%2B+1+log+5%29%2F%28log5+-+log+3%29=+%28x%28log5+-++log+3%29%29%2F%28log5+-+log3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284log3+%2B+1+log+5%29%2F%28log5+-+log+3%29+ ALIGN=MIDDLE  ALT=\"x=%284log3+%2B+1+log+5%29%2F%28log5+-+log+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Can you use a calculator to calculate this??  I get x=11.75.\r<BR>\n" );
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document.write( "For additional help please see my website by clicking on my tutor name \"rapaljer\" anywhere in algebra.com.  Look for the second link on my homepage which is \"Basic, Intermediate, and College Algebra: One Step at a Time.\"   Choose \"College Algebra\", then \"Chapter 4 Logarithms.\"  This lesson is \"Section 4.04  Solving Exponential and Logarithmic Equations.\"  My own students used this book for about 20 years, and they unanimously proclaimed that it was easier to understand than any other book they ever used!!  I hope you like it.  See also the \"MATH IN LIVING COLOR\" pages that are linked to these sections.\r<BR>\n" );
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document.write( "R^2  </SPAN>\n" );
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