document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102961>Question 1102961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have this problem: 4log(base6)x=log(base6)64. My answer was x=64^1/4. I was hesitant to go with this answer because my textbook had no examples that ended in an answer like that. Is this correct? If not, how do I solve this correctly? Thanks!1/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717680 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Solving the equation is rather easy, since we have log base 6 on both sides.<br><BR>\n" );
document.write( "We get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4=64 ALIGN=MIDDLE  ALT=\"x%5E4=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so your answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"64%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is valid.<br><BR>\n" );
document.write( "However, it can be simplified in many ways, without resorting to an irrational approximation obtained with a calculator.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%5E%281%2F4%29+=+%282%5E6%29%5E%281%2F4%29+=+2%5E%286%2F4%29+=+2%5E%283%2F2%29+=+2%2Asqrt%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "All of those forms are equivalent.  In most situations either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be considered the best forms. </SPAN>\n" );
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