document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126382>Question 126382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:(A) (1/27)sqrt3^x=81(^x-1)/9<BR>\n" );
document.write( "      (B) (cubedsqrt4/2)^6x=2sqrt2<BR>\n" );
document.write( "I am worried that I have not typed (B) correctly but if someone could even help me with(A) I would appreciate it . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92701 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=92701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:(A) (1/27)sqrt3^x=81(^x-1)/9 <BR>\n" );
document.write( "OK, it should look this then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F27%29sqrt%283%5Ex%29 ALIGN=MIDDLE  ALT=\"%281%2F27%29sqrt%283%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2881%5E%28x-1%29%29%2F9 ALIGN=MIDDLE  ALT=\"%2881%5E%28x-1%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by 27, gets rid of both denominators:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%5Ex%29+=+3%2881%5E%28x-1%29%29 ALIGN=MIDDLE  ALT=\"sqrt%283%5Ex%29+=+3%2881%5E%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28x%2F2%29+=+3%2881%5E%28x-1%29%29 ALIGN=MIDDLE  ALT=\"3%5E%28x%2F2%29+=+3%2881%5E%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  exponent equivalent of Square Root is 1/2<BR>\n" );
document.write( "Use nat logs:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%5E%28x%2F2%29%29+=+ln%283%29+%2B+ln%2881%5E%28x-1%29%29 ALIGN=MIDDLE  ALT=\"ln%283%5E%28x%2F2%29%29+=+ln%283%29+%2B+ln%2881%5E%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Use log equiv of exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F2%29%2Aln%283%29+=+ln%283%29+%2B+%28x-1%29%2Aln%2881%29 ALIGN=MIDDLE  ALT=\"%28x%2F2%29%2Aln%283%29+=+ln%283%29+%2B+%28x-1%29%2Aln%2881%29\"   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=%28x%2F2%29%2A%281.0986%29+=+1.0986+%2B+%28x-1%29%2A%284.3944%29 ALIGN=MIDDLE  ALT=\"%28x%2F2%29%2A%281.0986%29+=+1.0986+%2B+%28x-1%29%2A%284.3944%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divided 2 into 1.0986<BR>\n" );
document.write( ".5493x = 1.0986 + 4.3944x - 4.3944<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".5493x = 4.3944x - 3.2958<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".5493x - 4.3944x = -3.2958<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-3.8451x = -3.2958<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3.2958%29%2F%28-3.8451%29 ALIGN=MIDDLE  ALT=\"%28-3.2958%29%2F%28-3.8451%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +.857<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution using calc<BR>\n" );
document.write( "enter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F27%29sqrt%283%5E.857%29 ALIGN=MIDDLE  ALT=\"%281%2F27%29sqrt%283%5E.857%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .0593<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2881%5E%28.857-1%29%29%2F9 ALIGN=MIDDLE  ALT=\"%2881%5E%28.857-1%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .0593 also,  confirms our solution of x=.857<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(B) (cubedsqrt4/2)^6x=2sqrt2<BR>\n" );
document.write( "On the 2nd one is this what you mean?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cubeRt%284%29%2F2%29%5E%286x%29 ALIGN=MIDDLE  ALT=\"%28cubeRt%284%29%2F2%29%5E%286x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use a calc to find cube root of 4 divided by 2: enter 4^(1/3)/2 = .7937<BR>\n" );
document.write( "Use a calc to find the square root of 2 times 2: enter 2^(1/2)*2 = 2.8284<BR>\n" );
document.write( "now we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.7937%5E%286x%29+=+2.8284 ALIGN=MIDDLE  ALT=\".7937%5E%286x%29+=+2.8284\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the nat log of both sides, use the log equiv of exponents<BR>\n" );
document.write( "6x * ln(.7937) = ln(2.8284)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6x * -.23105 = 1.0397<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-1.3863x = 1.0397; multiplied by 6<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.0397%2F%28-1.3863%29 ALIGN=MIDDLE  ALT=\"1.0397%2F%28-1.3863%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -.74998 ~ -.75 is what it is:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this using a calc<BR>\n" );
document.write( "Find the value of 6x: -.75*6 = -4.5<BR>\n" );
document.write( "enter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%5E%281%2F3%29%2F2%29%5E%28-4.5%29 ALIGN=MIDDLE  ALT=\"%284%5E%281%2F3%29%2F2%29%5E%28-4.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.8284<BR>\n" );
document.write( "enter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.8284 also confirms our solution x = -.75<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Did this make sense to you, Any questions?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );