document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145339>Question 145339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which logarithmic equation is equivalent to the exponential equation below?\r<BR>\n" );
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document.write( "8^x=100\r<BR>\n" );
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document.write( "a. x=log8 100\r<BR>\n" );
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document.write( "b. x=log100 8\r<BR>\n" );
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document.write( "c. 100=logx 8\r<BR>\n" );
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document.write( "b. 8=logx 100 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106012 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=106012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ex=100+ ALIGN=MIDDLE  ALT=\"8%5Ex=100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%288%5Ex%29%29=log%2810%2C%28100%29%29+ ALIGN=MIDDLE  ALT=\"log%2810%2C%288%5Ex%29%29=log%2810%2C%28100%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log base 10 of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%288%29%29=log%2810%2C%28100%29%29+ ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%288%29%29=log%2810%2C%28100%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%2810%2C%28100%29%29%2Flog%2810%2C%288%29%29+ ALIGN=MIDDLE  ALT=\"x=log%2810%2C%28100%29%29%2Flog%2810%2C%288%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%288%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%288%2C%28100%29%29 ALIGN=MIDDLE  ALT=\"x=log%288%2C%28100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the change of base formula to simplify.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ex=100+ ALIGN=MIDDLE  ALT=\"8%5Ex=100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%288%2C%28100%29%29 ALIGN=MIDDLE  ALT=\"x=log%288%2C%28100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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