document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179772>Question 179772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of the expressions in the following  by using logarithms.   21)1215 3/2   22)7.864 to the 1.405 power  23)1.05 to the 9 power.Could you also explain to me how you got the answer please.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134692 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log_b {a^n} = n \log_b {a}\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log_b^{-1}({\log_b {a}}) = a\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log (a) = \log_{10}(a)\">\r<BR>\n" );
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document.write( "So: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log^{-1}({\log (1215^{3 \over 2})}) = \log^{-1}({{3 \over 2}\log (1215)}) = 1215^{3 \over 2}\">\r<BR>\n" );
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document.write( "Using the calculator <u>log</u> (where it says <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log\">) and <u> inverse log</u> (where it says (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log^{-1}\">) functions: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log^{-1}({{3 \over 2}\log (1215)}) \approx \log^{-1}({{3 \over 2}(3.0845)}) \approx \log^{-1}({4.6269}) \approx 42351.0729 \approx 1215^{3 \over 2}\">\r<BR>\n" );
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document.write( "In words, use the log function on the calculator to find the log of 1215.  Multiply this value by 3/2.  Take the inverse log of that result.  Done.\r<BR>\n" );
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document.write( "Do the other ones the same way. \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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