document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143989>Question 143989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x\r<BR>\n" );
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document.write( "log5(4x)=log5 28\r<BR>\n" );
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document.write( "2log x+ log3= log48\r<BR>\n" );
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document.write( "2^2x+3 = 2^x-5\r<BR>\n" );
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document.write( "4^x= 28 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104799 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=104799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first two to get you started\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%284x%29%29=log%285%2C%2828%29%29 ALIGN=MIDDLE  ALT=\"log%285%2C%284x%29%29=log%285%2C%2828%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=28 ALIGN=MIDDLE  ALT=\"4x=28\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the logs have the same base, this means that the arguments (the stuff inside the logs) are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2828%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x=%2828%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2log%2810%2C%28x%29%29%2B+log%2810%2C%283%29%29=log%2810%2C%2848%29%29+ ALIGN=MIDDLE  ALT=\"2log%2810%2C%28x%29%29%2B+log%2810%2C%283%29%29=log%2810%2C%2848%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%5E2%29%29%2B+log%2810%2C%283%29%29=log%2810%2C%2848%29%29+ ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%5E2%29%29%2B+log%2810%2C%283%29%29=log%2810%2C%2848%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2log%2810%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"2log%2810%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%5E2%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=log%2810%2C%28x%5E2%2A3%29%29=log%2810%2C%2848%29%29+ ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%5E2%2A3%29%29=log%2810%2C%2848%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%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=log%2810%2C%283x%5E2%29%29=log%2810%2C%2848%29%29+ ALIGN=MIDDLE  ALT=\"log%2810%2C%283x%5E2%29%29=log%2810%2C%2848%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2=48 ALIGN=MIDDLE  ALT=\"3x%5E2=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the logs have the same base, this means that the arguments (the stuff inside the logs) are equal\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides. Note: discard the negative square root. Remember, you cannot take the log of a negative number.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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