document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891981>Question 891981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, this is my second time asking a question....both were on logarithms :(\r<BR>\n" );
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document.write( "Solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+x%2B1+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+x%2B1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+4%2C+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+4%2C+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be rewritten as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29log%28+2%2C+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29log%28+2%2C+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+x%2B1+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+x%2B1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29log%28+2%2C+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29log%28+2%2C+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+x%2B1+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+x%2B1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+%28x%2B3%29%5E%281%2F2%29+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+%28x%2B3%29%5E%281%2F2%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+%28x%2B1%29%2Fsqrt%28x%2B3%29+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+%28x%2B1%29%2Fsqrt%28x%2B3%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >    \r<BR>\n" );
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document.write( "But I don't know what to do next. Or did I do wrong from the beginning?\r<BR>\n" );
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document.write( "I know there could be another way... for example... making <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+4%2C+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+10%2C+x%2B3+%29%2Flog%28+10%2C+4+%29+ ALIGN=MIDDLE  ALT=\"+log%28+10%2C+x%2B3+%29%2Flog%28+10%2C+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >           to make the same base for both sides. But still, I don't know what to do next.\r<BR>\n" );
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document.write( "Could you please teach me how to solve this problem in those two ways? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540184 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+x%2B1+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+x%2B1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+4%2C+x%2B3+%29+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x%2B3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2Cx%2B3%29 ALIGN=MIDDLE  ALT=\"+log%284%2Cx%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be rewritten as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29log%282%2Cx%2B3%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29log%282%2Cx%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2Cx%2B1%29 ALIGN=MIDDLE  ALT=\"log%282%2Cx%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2Cx%2B3%29%2F2 ALIGN=MIDDLE  ALT=\"log%284%2Cx%2B3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2log%282%2Cx%2B1%29 ALIGN=MIDDLE  ALT=\"2log%282%2Cx%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2+=+x%2B3+=+x%5E2+%2B+2x+%2B+1 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2+=+x%2B3+=+x%5E2+%2B+2x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x+-+2+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-1)*(x+2) = 0<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "x = -2 is rejected, gives log of a neg value<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );