document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=558060>Question 558060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the properties of logarithms and the values below to find the logarithm indicated.\r<BR>\n" );
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document.write( "log8 12 =P<BR>\n" );
document.write( "log8  5 = q<BR>\n" );
document.write( "log8 9 = r\r<BR>\n" );
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document.write( "Find log8 32/27<BR>\n" );
document.write( "Please show steps. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362961 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=362961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log8 12 = P<BR>\n" );
document.write( "Write the exponent equiv of logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ep+=+12 ALIGN=MIDDLE  ALT=\"8%5Ep+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use common logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%288%5Ep%29%29+=+log%28%2812%29%29 ALIGN=MIDDLE  ALT=\"log%28%288%5Ep%29%29+=+log%28%2812%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use log equiv of exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Alog%28%288%29%29+=+log%28%2812%29%29 ALIGN=MIDDLE  ALT=\"p%2Alog%28%288%29%29+=+log%28%2812%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the logs<BR>\n" );
document.write( ".903P = 1.079<BR>\n" );
document.write( "P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.079%2F.903 ALIGN=MIDDLE  ALT=\"1.079%2F.903\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P = 1.195<BR>\n" );
document.write( ":<BR>\n" );
document.write( "log8 5 = q<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Eq+=+5 ALIGN=MIDDLE  ALT=\"8%5Eq+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%288%5Eq%29%29+=+log%285%29%29 ALIGN=MIDDLE  ALT=\"log%28%288%5Eq%29%29+=+log%285%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=q%2Alog%28%288%29%29+=+log%28%285%29%29 ALIGN=MIDDLE  ALT=\"q%2Alog%28%288%29%29+=+log%28%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".903q = .699<BR>\n" );
document.write( "q = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.699%2F.903 ALIGN=MIDDLE  ALT=\".699%2F.903\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "q = .774<BR>\n" );
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document.write( "log8 9 = r<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Er+=+9 ALIGN=MIDDLE  ALT=\"8%5Er+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do this the same way as the previous two problems<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find log8 32/27, <BR>\n" );
document.write( "let the log = y<BR>\n" );
document.write( "Write it log8 32/27 = y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ey+=+32%2F27 ALIGN=MIDDLE  ALT=\"8%5Ey+=+32%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".903y = .0738<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.0738%2F.903 ALIGN=MIDDLE  ALT=\".0738%2F.903\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = .0817 is the log of 32/27 using the base 8<BR>\n" );
document.write( "Check this on a calc: enter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E.0817 ALIGN=MIDDLE  ALT=\"8%5E.0817\"   DISABLED_style= \"max-width:90%; height:auto;\" > results 1.185 which = 32/27 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );