document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475131>Question 475131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x: (9a^2b)^x(3ab)^4=9^5a^10b^7\r<BR>\n" );
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document.write( "I am not sure how to solve for x or even how to isolate it when it is an exponent. Especially when there are so many other variables(a, b) and a huge number (9 raised to the 5th power=59,049). There is just too much going on with this one for me to solve on my own.\r<BR>\n" );
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document.write( "Thank you in advance!\r<BR>\n" );
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document.write( "Jessica Ortiz </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325781 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=325781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve for x: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%289a%5E2b%29%5Ex%29%283ab%29%5E4=9%5E5a%5E10b%5E7 ALIGN=MIDDLE  ALT=\"%28%289a%5E2b%29%5Ex%29%283ab%29%5E4=9%5E5a%5E10b%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "yes, it looks pretty hairy, but let's just plunge into it and see how much we can simplify it<BR>\n" );
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document.write( "We will leave expression with the x exponent alone for while<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%289a%5E2b%29%5Ex%29%283%5E4a%5E4b%5E4%29=9%5E5a%5E10b%5E7 ALIGN=MIDDLE  ALT=\"%28%289a%5E2b%29%5Ex%29%283%5E4a%5E4b%5E4%29=9%5E5a%5E10b%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%289a%5E2b%29%5Ex%29%2881a%5E4b%5E4%29=9%5E5a%5E10b%5E7 ALIGN=MIDDLE  ALT=\"%28%289a%5E2b%29%5Ex%29%2881a%5E4b%5E4%29=9%5E5a%5E10b%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289a%5E2b%29%5Ex=%289%5E5a%5E10b%5E7%29%2F%2881a%5E4b%5E4%29 ALIGN=MIDDLE  ALT=\"%289a%5E2b%29%5Ex=%289%5E5a%5E10b%5E7%29%2F%2881a%5E4b%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Convert 81 to 9^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289a%5E2b%29%5Ex=%289%5E5a%5E10b%5E7%29%2F%289%5E2a%5E4b%5E4%29 ALIGN=MIDDLE  ALT=\"%289a%5E2b%29%5Ex=%289%5E5a%5E10b%5E7%29%2F%289%5E2a%5E4b%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using the exponents of like terms we can get rid of the denominator and have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289a%5E2b%29%5Ex=%289%5E3a%5E6b%5E3%29 ALIGN=MIDDLE  ALT=\"%289a%5E2b%29%5Ex=%289%5E3a%5E6b%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can factor out the exponent on the right to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289a%5E2b%29%5Ex=%289a%5E2b%29%5E3 ALIGN=MIDDLE  ALT=\"%289a%5E2b%29%5Ex=%289a%5E2b%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That looks familiar doesn't it, therefore<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( " </SPAN>\n" );
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