document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=621310>Question 621310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay. So we were given homework for summer. But there's one big problem. I don't remember learning this. And I've looked everywhere to find help on how to solve it. So if you could explain the steps. That would be very appreciated. So I can use it as a model when solving other problems like it. Thank you=)\r<BR>\n" );
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document.write( "27^(x+1) = 9^(2x-4)<BR>\n" );
document.write( "The exponents are (x+1) and (2x-4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390668 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390668\">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=27%5E%28%28x%2B1%29%29+=+9%5E%28%282x-4%29%29 ALIGN=MIDDLE  ALT=\"27%5E%28%28x%2B1%29%29+=+9%5E%28%282x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "note that 27 = 3^3 and 9 = 3^2, so we can rewrite this to<BR>\n" );
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document.write( "If the bases are equal, the exponents are equal, so we have<BR>\n" );
document.write( "3(x+1) = 2(2x-4)<BR>\n" );
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document.write( "3x + 3 = 4x - 8<BR>\n" );
document.write( "3 + 8 = 4x - 3x<BR>\n" );
document.write( "11 = x<BR>\n" );
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document.write( "Check this on your calc, (replace x with 11)<BR>\n" );
document.write( "27^12 = 1.5(10^17)<BR>\n" );
document.write( "9^18 = 1/5(10.17) </SPAN>\n" );
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