document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611503>Question 611503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 49^(3x+1)=7^(2x-5)<BR>\n" );
document.write( "Solve the equation log8(3x-1)=log8(x+4)<BR>\n" );
document.write( "Solve the equation log6(x)=(1/4)log6(16)+(1/3)log6(64)<BR>\n" );
document.write( "Find the antilogarithm of 1.5 <BR>\n" );
document.write( "Solve the equation ln(x)=5<BR>\n" );
document.write( "Solve the equation 2^(2x+3)=3^(3x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384991 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=384991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation <BR>\n" );
document.write( "49^(3x+1)=7^(2x-5)<BR>\n" );
document.write( "7^2(3x+1)=7^(x-5)<BR>\n" );
document.write( "7^(6x+2)=7^(x-5)<BR>\n" );
document.write( "6x+2=x-5<BR>\n" );
document.write( "5x=-7<BR>\n" );
document.write( "x=-7/5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Solve the equation log8(3x-1)=log8(x+4)<BR>\n" );
document.write( "3x-1=x+4<BR>\n" );
document.write( "2x=5<BR>\n" );
document.write( "x=5/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Solve the equation <BR>\n" );
document.write( "log6(x)=(1/4)log6(16)+(1/3)log6(64)<BR>\n" );
document.write( "=log6(16)^(1/4)+log6(64)^1/3)<BR>\n" );
document.write( "log6(x)=log6(2)+log6(4)<BR>\n" );
document.write( "log6(x)-log6(2)-log6(4)=0<BR>\n" );
document.write( "log6(x)-(log6(2)+log6(4))=0<BR>\n" );
document.write( "place under single log<BR>\n" );
document.write( "log6[x/2*4]=0<BR>\n" );
document.write( "convert to exponential form<BR>\n" );
document.write( "6^0=x/8=1<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Find the <BR>\n" );
document.write( "antilogarithm of 1.5=10^1.5&#8776;31.62<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Solve the equation <BR>\n" );
document.write( "ln(x)=5<BR>\n" );
document.write( "x=e^5&#8776;148.41<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Solve the equation <BR>\n" );
document.write( "2^(2x+3)=3^(3x)<BR>\n" );
document.write( "(2x+3)log2=(3x)log3<BR>\n" );
document.write( "(2x+3)/3x=log3/log2&#8776;1.585<BR>\n" );
document.write( "2x+3=3x(1.585)=4.755x<BR>\n" );
document.write( "2.755x=3<BR>\n" );
document.write( "x=3/2.755&#8776;1.089<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );