document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254139>Question 254139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there, I wonder if you could help me on the following.\r<BR>\n" );
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document.write( "I would like to find x.\r<BR>\n" );
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document.write( "If A^x = B\r<BR>\n" );
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document.write( "x=?\r<BR>\n" );
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document.write( "thanks and regards,<BR>\n" );
document.write( "pedro </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186428 by </B><A HREF=/tutors/aboutme.mpl?userid=JimboP1977><B>JimboP1977(311)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JimboP1977><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/cgi-bin/show-face.mpl?user=JimboP1977><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well to find x we need to use things called logs. Logs are basically exponents or powers. For example <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > 2 is a power or exponent.\r<BR>\n" );
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document.write( "We need to take the log of both sides of the equation using a base of A.\r<BR>\n" );
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document.write( "log(base A) A^x = log(base A) B What this means is we are saying for the left hand side \"What power to base A equals A^x\". Well this must be of course be x.\r<BR>\n" );
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document.write( "So we can simplify the equation to x=log(baseA) B.\r<BR>\n" );
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document.write( "Does that make any sense to you? </SPAN>\n" );
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