document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114008>Question 114008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify: log (1000) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82999 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=82999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember, if we have the blank equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%29%29=y ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%29%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we can write it as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey=x ALIGN=MIDDLE  ALT=\"b%5Ey=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.So we can apply this property to this problem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%281000%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%281000%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression. Remember, if the base isn't stated, the base is 10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%281000%29%29=y ALIGN=MIDDLE  ALT=\"log%2810%2C%281000%29%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the expression equal to y. The variable y is arbitrary and doesn't matter, but we need it for this problem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ey=1000 ALIGN=MIDDLE  ALT=\"10%5Ey=1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the equation using the first property I mentioned\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ey=10%5E3 ALIGN=MIDDLE  ALT=\"10%5Ey=10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 1000 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E3 ALIGN=MIDDLE  ALT=\"10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the bases are equal, the exponents are equal. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%281000%29%29=3 ALIGN=MIDDLE  ALT=\"log%2810%2C%281000%29%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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