document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20616>Question 20616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is my question:\r<BR>\n" );
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document.write( "7^logx = 7\r<BR>\n" );
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document.write( "the answer is 10, but I am not quite sure what to do when the log is an exponent of 7. I'm also supposed to show a check of my answer.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9926 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=9926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall this about logarithms:<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ex+=+a%5Ey ALIGN=MIDDLE  ALT=\"a%5Ex+=+a%5Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the bases are the same, that is a = a, then the exponents are equal, therefore x = y.  Applying this to your problem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E%28logx%29+=+7%5E1 ALIGN=MIDDLE  ALT=\"7%5E%28logx%29+=+7%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > The bases are the same so the exponents are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%29+=+1 ALIGN=MIDDLE  ALT=\"log%28x%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Change to exponential form.<BR>\n" );
document.write( " Recall that log(x) is log to the base 10 of x:<BR>\n" );
document.write( "Logarithmic form: y = log(x)...Exponential form: x = 10^y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10%5E1 ALIGN=MIDDLE  ALT=\"x+=+10%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, x = 10\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E%28logx%29+=+7 ALIGN=MIDDLE  ALT=\"7%5E%28logx%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5Elog10+=+7 ALIGN=MIDDLE  ALT=\"7%5Elog10+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > but log10 = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E1+=+7 ALIGN=MIDDLE  ALT=\"7%5E1+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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