document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20547>Question 20547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What's the value of N? log<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >n = 2/3log<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >8 I have no idea what I'm even supposed to do first. By the way 2/3 is the fraction two thirds. I'd really appreciate it if you walk me through it. THANKS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9897 by </B><A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><B>AnlytcPhil(1807)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><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=AnlytcPhil><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What's the value of N? log<sub>7</sub>n = 2/3log<sub>7</sub>8 I have no idea what I'm even supposed<BR>\n" );
document.write( "to do first. By the way 2/3 is the fraction two thirds. I'd really appreciate<BR>\n" );
document.write( "it if you walk me through it. THANKS<BR>\n" );
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document.write( "log<sub>7</sub>n = 2/3·log<sub>7</sub>8<BR>\n" );
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document.write( "Use the rule N·log<sub>B</sub>U = log<sub>B</sub>U<sup>N</sup> on the right side<BR>\n" );
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document.write( "log<sub>7</sub>n = log<sub>7</sub>8<sup>2/3</sup><BR>\n" );
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document.write( "Now write 8 as 2<sup>3</sup><BR>\n" );
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document.write( "log<sub>7</sub>n = log<sub>7</sub>(2<sup>3</sup>)<sup>2/3</sup><BR>\n" );
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document.write( "Now simplify (2<sup>3</sup>)<sup>2/3</sup> to 2<sup>3·2/3</sup> = 2<sup>1</sup> = 2<BR>\n" );
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document.write( "log<sub>7</sub>n = log<sub>7</sub>2<BR>\n" );
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document.write( "Now raise both sides to the 7 power, which amounts to dropping the logs<BR>\n" );
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document.write( "n = 2<BR>\n" );
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document.write( "Edwin<BR>\n" );
document.write( "AnlytcPhil@aol.com\r<BR>\n" );
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