document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721950>Question 721950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a particular real number a and base b it is known that log(base b)a=2.75.  Determine the value of log(base b)(a^3)\r<BR>\n" );
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document.write( "I tried:<BR>\n" );
document.write( "a=b^2.75\r<BR>\n" );
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document.write( "substitute<BR>\n" );
document.write( "log(base b)((b^2.75)^3)\r<BR>\n" );
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document.write( "b^1=b^8.25  didn't make any sense </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442577 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=442577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a particular real number a and base b it is known that log(base b)a=2.75. Determine the value of log(base b)(a^3) <BR>\n" );
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document.write( "logb(a)=2.75<BR>\n" );
document.write( "a=b^(2.75) (exponential form: base(b) raised to log of number(2.75)=number(a))<BR>\n" );
document.write( "a^3=b^(2.75)^3=b^(8.25)<BR>\n" );
document.write( "logb(a^3)=logb(b^8.25)=8.25<BR>\n" );
document.write( "log of base raised to an exponent=exponent </SPAN>\n" );
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