document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35645>Question 35645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this using logarithms\r<BR>\n" );
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document.write( "8^(3x+4) = 3^x\r<BR>\n" );
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document.write( "stuff to the right of the ^'s are exponents....thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21782 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=21782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%283x%2B4%29+=+3%5Ex ALIGN=MIDDLE  ALT=\"8%5E%283x%2B4%29+=+3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First, take the ln of each side of the equation:<BR>\n" );
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document.write( "By the third law of exponents, \"bring the exponents down\" to become coefficients:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4%29+%2A+ln+8+=+x%2A+ln+3 ALIGN=MIDDLE  ALT=\"%283x%2B4%29+%2A+ln+8+=+x%2A+ln+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distributive property:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2A+ln+8+%2B+4+%2A+ln+8+=+x+%2A+ln+3 ALIGN=MIDDLE  ALT=\"3x+%2A+ln+8+%2B+4+%2A+ln+8+=+x+%2A+ln+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Get all the x terms on one side and the non-x terms on the other side.  You might want to subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+ln+8 ALIGN=MIDDLE  ALT=\"+3x+ln+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > from each side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2A+ln+8+=+x+%2A+ln+3+-+3x%2A+ln+8 ALIGN=MIDDLE  ALT=\"+4%2A+ln+8+=+x+%2A+ln+3+-+3x%2A+ln+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor out the x on the left side in order to get the x in one place, so you can solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A+ln+8+=+x%28ln+3+-+3+%2A+ln+8%29+ ALIGN=MIDDLE  ALT=\"4%2A+ln+8+=+x%28ln+3+-+3+%2A+ln+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28ln+3+-+3+%2A+ln+8%29+ ALIGN=MIDDLE  ALT=\"+%28ln+3+-+3+%2A+ln+8%29+\"   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+=+%284%2A+ln+8%29%2F%28+ln3+-+3+%2A+ln+8%29 ALIGN=MIDDLE  ALT=\"x+=+%284%2A+ln+8%29%2F%28+ln3+-+3+%2A+ln+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Calculate with a calculator:  x =  -1.618 approximately.  \r<BR>\n" );
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document.write( "Thank you so much for this problem!!  I could put it on my final exam for College Algebra next week!!\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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