document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061136>Question 1061136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the logarithmic function that passes through the points (18,4) and (144,10).\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675956 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=675956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Description specified, \"logarithmic\" function.\r<BR>\n" );
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document.write( "Choose your base, maybe 10.<BR>\n" );
document.write( "Let m be the slope for the LINE, but you would start with a line such as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%2Alog%28%28x%29%29%2Blog%28%28k%29%29 ALIGN=MIDDLE  ALT=\"y=m%2Alog%28%28x%29%29%2Blog%28%28k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The format comes from rules for logarithms which can take the equation back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log%28%28x%5Em%29%29%2Blog%28%28k%29%29 ALIGN=MIDDLE  ALT=\"y=log%28%28x%5Em%29%29%2Blog%28%28k%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=y=log%28%28k%29%29%2Blog%28%28x%5Em%29%29 ALIGN=MIDDLE  ALT=\"y=log%28%28k%29%29%2Blog%28%28x%5Em%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=highlight_green%28y=log%28%28k%2Ax%5Em%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=log%28%28k%2Ax%5Em%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------to this.\r<BR>\n" );
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document.write( "The two given points give this system:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284=m%2Alog%28%2818%29%29%2Blog%28%28k%29%29%2C10=m%2Alog%28%28144%29%29%2Blog%28%28k%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You might work with the system in this arrangement:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28m%2Alog%28%2818%29%29%2Blog%28%28k%29%29=4%2Cm%2Alog%28%28144%29%29%2Blog%28%28k%29%29=10%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the system for these:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28m%2Cand%2Clog%28%28k%29%29%29 ALIGN=MIDDLE  ALT=\"system%28m%2Cand%2Clog%28%28k%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Choosing to eliminate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28k%29%29 ALIGN=MIDDLE  ALT=\"log%28%28k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the Elimination Method will give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=6.6439%29 ALIGN=MIDDLE  ALT=\"highlight%28m=6.6439%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Using the log(144) & 10 equation, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28k%29%29=-4.33985 ALIGN=MIDDLE  ALT=\"log%28%28k%29%29=-4.33985\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k=4.572%2A10%5E%28-5%29%29 ALIGN=MIDDLE  ALT=\"highlight%28k=4.572%2A10%5E%28-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "(REMEMBER, all of this is being done for base-ten):<BR>\n" );
document.write( "Your logarithmic formula or FUNCTION f, is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=log%28%28%280.00004572%29x%5E6.6439%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=log%28%28%280.00004572%29x%5E6.6439%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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