document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629636>Question 629636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (3^5x)(27^5x)=(3^48)(9^9x), then what is the value of x?\r<BR>\n" );
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document.write( "I tried to solve for x as a regular equation and got stuck when x was isolated on one side as an exponent.....(3^5x)(27^5x)=(3^48)(9^8x)<BR>\n" );
document.write( "                              81^10x=(3^48)(9^8x)<BR>\n" );
document.write( "                                   9^2x=(3^48)<BR>\n" );
document.write( "Also tried....<BR>\n" );
document.write( "10x=48+8x<BR>\n" );
document.write( "2x=48<BR>\n" );
document.write( "x=24\r<BR>\n" );
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document.write( "     the answer is 12\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396383 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=396383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3^5x)(27^5x)=(3^48)(9^8x)\r<BR>\n" );
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document.write( "(3^5x)((3^3)^5x)=(3^48)((3^2)^8x)\r<BR>\n" );
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document.write( "(3^5x)(3^(15x))=(3^48)(3^(16x))\r<BR>\n" );
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document.write( "3^(5x+15x) = 3^(48+16x)\r<BR>\n" );
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document.write( "3^(20x) = 3^(48+16x)\r<BR>\n" );
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document.write( "Since the bases are equal, the exponents are equal. So\r<BR>\n" );
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document.write( "20x = 48+16x\r<BR>\n" );
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document.write( "20x - 16x = 48\r<BR>\n" );
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document.write( "4x = 48\r<BR>\n" );
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document.write( "x = 48/4\r<BR>\n" );
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document.write( "x = <font color=\"red\">12</font>\r<BR>\n" );
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