document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133350>Question 133350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please solve, using steps\r<BR>\n" );
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document.write( "e^blna = a^b\r<BR>\n" );
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document.write( "it looks like an alien language </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97537 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=97537\">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=e%5E%28b%2Aln%28a%29%29=a%5Eb ALIGN=MIDDLE  ALT=\"e%5E%28b%2Aln%28a%29%29=a%5Eb\"   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=e%5E%28ln%28a%5Eb%29%29=a%5Eb ALIGN=MIDDLE  ALT=\"e%5E%28ln%28a%5Eb%29%29=a%5Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the exponent using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Aln%28x%29=ln%28x%5Ey%29 ALIGN=MIDDLE  ALT=\"y%2Aln%28x%29=ln%28x%5Ey%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=a%5Eb=a%5Eb ALIGN=MIDDLE  ALT=\"a%5Eb=a%5Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the left side. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Eln%28x%29=x ALIGN=MIDDLE  ALT=\"e%5Eln%28x%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we can see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=a ALIGN=MIDDLE  ALT=\"a=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=b ALIGN=MIDDLE  ALT=\"b=b\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, any number will work for either a or b as long as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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