document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40039>Question 40039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with these three problems.\r<BR>\n" );
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document.write( "   1. Find the solution to the equation log(x)8=1/3.\r<BR>\n" );
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document.write( "   2. Find the approximate solution to the equation 3(1.5^x)+10=280.\r<BR>\n" );
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document.write( "   3. Find the solution to the equation 2 log(a)3 + log(a)(x-4)= log(a)(x+8).\r<BR>\n" );
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document.write( "   () below the log\r<BR>\n" );
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document.write( "Thank you very much.\r<BR>\n" );
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document.write( "Chris </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25474 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) log(x)8 = 1/3<BR>\n" );
document.write( "Change this into an exponential form first and then solve, so we get<BR>\n" );
document.write( "x^(1/3) = 8<BR>\n" );
document.write( "x = 8^3 = 512\r<BR>\n" );
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document.write( "2) 3(1.5^x) + 10 = 280<BR>\n" );
document.write( "Here isolate the exponential first and get<BR>\n" );
document.write( "3(1.5^x) = 270<BR>\n" );
document.write( "1.5^x = 90<BR>\n" );
document.write( "Now take the log<BR>\n" );
document.write( "x*log(1.5) = log(90)<BR>\n" );
document.write( "x = log(90) / log(1.5)\r<BR>\n" );
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document.write( "3) 2*log(a)3 + log(a)(x-4) = log(a)(x+8)<BR>\n" );
document.write( "Combine the left hand side first<BR>\n" );
document.write( "log(a) [3^2*(x-4)]  = log(a)(x+8) so that<BR>\n" );
document.write( "9(x - 4) = x + 8<BR>\n" );
document.write( "9x - 36 = x + 8<BR>\n" );
document.write( "8x = 44<BR>\n" );
document.write( "x = 11/2 </SPAN>\n" );
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