document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408682>Question 408682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following exponential equations using logarithms:\r<BR>\n" );
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document.write( "2^(x) = 3^(x+1)\r<BR>\n" );
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document.write( "Feeling pretty lost on this one...<BR>\n" );
document.write( "I've tried to google for similar examples, but when I do find a similar problem it's solves using a form like this: \"xln(2)=(xln(3)+ln(3))\" I think this is a little beyond where I am now :( Looking for a more basic algebra solution! \r<BR>\n" );
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document.write( "Appreciate any help!! <BR>\n" );
document.write( "Thanks :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287822 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ln function shouldn't be too far beyond your reach, since ln is a logarithm function (except it uses the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where e = 2.71828.... e is a very important number in calculus).\r<BR>\n" );
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document.write( "The easiest way to solve this is to isolate the 1 on the exponent x+1 to obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex+=+3%2A3%5Ex ALIGN=MIDDLE  ALT=\"2%5Ex+=+3%2A3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex ALIGN=MIDDLE  ALT=\"3%5Ex\"   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=%282%5Ex%29%2F%283%5Ex%29+=+3 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%2F%283%5Ex%29+=+3\"   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=%282%2F3%29%5Ex+=+3 ALIGN=MIDDLE  ALT=\"%282%2F3%29%5Ex+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the log base 2/3 of both sides to obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+log%282%2F3%2C+3%29 ALIGN=MIDDLE  ALT=\"x+=+log%282%2F3%2C+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2.709511... </SPAN>\n" );
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