document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105567>Question 105567</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Anybody out there who can help with eveluating expressions?? Ineed to evaluate the following expression; log g 1?<BR>\n" );
document.write( "Thanks a Million. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76843 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=76843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28g%2C1%29=+y ALIGN=MIDDLE  ALT=\"log%28g%2C1%29=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This means that y is the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28g%2C1%29 ALIGN=MIDDLE  ALT=\"log%28g%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The answer to this problem is that y is equal to zero, so you can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28g%2C1%29 ALIGN=MIDDLE  ALT=\"log%28g%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is equal to zero. Notice that you are saying that the log of 1 is equal to zero regardless<BR>\n" );
document.write( "of what the base is.<BR>\n" );
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document.write( "Let's see why. We can do this by translating from the logarithmic form to its equivalent<BR>\n" );
document.write( "exponential form. This translation says that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2CA%29=y ALIGN=MIDDLE  ALT=\"log%28b%2CA%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > has an equivalent exponential form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey+=+A ALIGN=MIDDLE  ALT=\"b%5Ey+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "By comparing the log form of the translation to the log equation you were given in this<BR>\n" );
document.write( "problem, you can see that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+g ALIGN=MIDDLE  ALT=\"b+=+g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+1 ALIGN=MIDDLE  ALT=\"A+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+y ALIGN=MIDDLE  ALT=\"y+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then you can see that by substituting the right side of these three relationships into<BR>\n" );
document.write( "the exponential form, that the exponential form of the given problem is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5Ey+=+1 ALIGN=MIDDLE  ALT=\"g%5Ey+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now it's time to recall that if any base number is raised to the zero power, the answer is 1.<BR>\n" );
document.write( "Since we need 1 as the answer, we need to raise g to the zero power. So y = 0 and this <BR>\n" );
document.write( "means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28g%2C1%29 ALIGN=MIDDLE  ALT=\"log%28g%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals zero.<BR>\n" );
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document.write( "Hope this helps you to understand this problem and how to get the answer.<BR>\n" );
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document.write( " </SPAN>\n" );
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