document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118399>Question 118399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello there,\r<BR>\n" );
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document.write( "For the following problem, I am not sure if my answer is right or if the given answer is right. In the case that the given answer is correct, could someone please explain where I might have erred?\r<BR>\n" );
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document.write( "Thank you !\r<BR>\n" );
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document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%28+3%2C+2+%29%29%28log+%282%2C+3%29+sqrt%283%29%29%29+ ALIGN=MIDDLE  ALT=\"+%28log%28+3%2C+2+%29%29%28log+%282%2C+3%29+sqrt%283%29%29%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=+%281%2F%28log+%282%2C+3+%29%29%29%28log+%282%2C+3%29+sqrt%28+3+%29%29%29%29+ ALIGN=MIDDLE  ALT=\"+%281%2F%28log+%282%2C+3+%29%29%29%28log+%282%2C+3%29+sqrt%28+3+%29%29%29%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=+%28log+%282%2C+3%29+sqrt+%283%29%29%2F%28log+%282%2C+3%29%29+ ALIGN=MIDDLE  ALT=\"+%28log+%282%2C+3%29+sqrt+%283%29%29%2F%28log+%282%2C+3%29%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=+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "However, the given answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log+%282%2C+%281%2F3%29%29%29+ ALIGN=MIDDLE  ALT=\"+%28log+%282%2C+%281%2F3%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86514 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=86514\">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=+%28log%28+3%2C+%282%29+%29%29%28log+%282%2C+%283%2Asqrt%283%29%29%29%29+ ALIGN=MIDDLE  ALT=\"+%28log%28+3%2C+%282%29+%29%29%28log+%282%2C+%283%2Asqrt%283%29%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%2810%2C2%29%2Flog%2810%2C3%29%29%28log%2810%2C3%2Asqrt%283%29%29%2Flog%2810%2C2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the logs using the change of base formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cross%28log%2810%2C2%29%29%2Flog%2810%2C3%29%29%28log%2810%2C3%2Asqrt%283%29%29%2Fcross%28log%2810%2C2%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2Flog%2810%2C3%29%29%28log%2810%2C3%2Asqrt%283%29%29%2F1%29+ ALIGN=MIDDLE  ALT=\"+%281%2Flog%2810%2C3%29%29%28log%2810%2C3%2Asqrt%283%29%29%2F1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C3%2Asqrt%283%29%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"log%2810%2C3%2Asqrt%283%29%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%2810%2C3%29%2Blog%2810%2Csqrt%283%29%29%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"%28log%2810%2C3%29%2Blog%2810%2Csqrt%283%29%29%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2CA%2AB%29=log%28b%2CA%29%2Blog%28b%2CB%29 ALIGN=MIDDLE  ALT=\"log%28b%2CA%2AB%29=log%28b%2CA%29%2Blog%28b%2CB%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=log%2810%2C3%29%2Flog%2810%2C3%29%2Blog%2810%2Csqrt%283%29%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"log%2810%2C3%29%2Flog%2810%2C3%29%2Blog%2810%2Csqrt%283%29%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28log%2810%2C3%29%2Flog%2810%2C3%29%29%2Blog%2810%2Csqrt%283%29%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"cross%28log%2810%2C3%29%2Flog%2810%2C3%29%29%2Blog%2810%2Csqrt%283%29%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Blog%2810%2Csqrt%283%29%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"1%2Blog%2810%2Csqrt%283%29%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Blog%2810%2C3%5E%281%2F2%29%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"1%2Blog%2810%2C3%5E%281%2F2%29%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"3%5E%281%2F2%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=1%2B%281%2F2%29log%2810%2C3%29%2Flog%2810%2C3%29 ALIGN=MIDDLE  ALT=\"1%2B%281%2F2%29log%2810%2C3%29%2Flog%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the log using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5Ey%29=y%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5Ey%29=y%2Alog%28b%2Cx%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=1%2B%281%2F2%29cross%28log%2810%2C3%29%2Flog%2810%2C3%29%29 ALIGN=MIDDLE  ALT=\"1%2B%281%2F2%29cross%28log%2810%2C3%29%2Flog%2810%2C3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2F2 ALIGN=MIDDLE  ALT=\"1%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%28+3%2C+%282%29+%29%29%28log+%282%2C+%283%2Asqrt%283%29%29%29%29=3%2F2+ ALIGN=MIDDLE  ALT=\"+%28log%28+3%2C+%282%29+%29%29%28log+%282%2C+%283%2Asqrt%283%29%29%29%29=3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I checked this answer with my calculator, so you must have typed in the problem incorrectly or it might be displayed incorrectly. Double check your book to verify that you have the right problem. </SPAN>\n" );
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