document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262571>Question 262571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help?! I'm trying to finish my online Algebra 2 class and the logarithm section is killing me. I cannot even begin to solve these three. \r<BR>\n" );
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document.write( "Write the equation log[base6](1/36)=-2\r<BR>\n" );
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document.write( "Evaluate the expression log[base12]12^2\r<BR>\n" );
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document.write( "Solve the equation log[base b]9=2\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193421 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=193421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) Write the equation log[base6](1/36)=-2 <BR>\n" );
document.write( "2.) Evaluate the expression log[base12]12^2 <BR>\n" );
document.write( "3.) Solve the equation log[base b]9=2 \r<BR>\n" );
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document.write( "Remember the definition of a log is:\r<BR>\n" );
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document.write( "log[base a] x = b if and only if a^b = x (where a^b is a raised to the b power)\r<BR>\n" );
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document.write( "So for 1.)\r<BR>\n" );
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document.write( "log[base6] 1/36 = -2 if and only if 6^-2 = 1/36\r<BR>\n" );
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document.write( "6^-2 = 1/6^2 = 1/36\r<BR>\n" );
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document.write( "2.) log[base12] 12^2 = b if and only if 12^b = 12^2<BR>\n" );
document.write( "12^b = 12^2 so b = 2\r<BR>\n" );
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document.write( "So we have log[base12] 12^2 = 2\r<BR>\n" );
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document.write( "3.) log[baseb] 9 = 2\r<BR>\n" );
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document.write( "By definition of the log we know that:\r<BR>\n" );
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document.write( "b^2 = 9<BR>\n" );
document.write( "b*b = 9<BR>\n" );
document.write( "b = 3\r<BR>\n" );
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document.write( "So we have log[base3] 9 = 2 </SPAN>\n" );
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