document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438992>Question 438992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (4/3)^1-x  =5^x<BR>\n" );
document.write( " <BR>\n" );
document.write( "Please show me how to solve this showing all steps. I tried taking the ln of both sides and ended up with x=.47, which is wrong. I know the answer is x=0.15, but am not sure how to get there. Below I will show my original work done so you can see that I have tried, even though I am certain it is incorrect.  <BR>\n" );
document.write( "(4/3)^1-x=5^x<BR>\n" );
document.write( "(1-x) ln4/3=x ln5<BR>\n" );
document.write( "ln4/3-(ln4/3)x=(ln5)x\r<BR>\n" );
document.write( "\n" );
document.write( "x=   ln4/3         =.47<BR>\n" );
document.write( "    ___________<BR>\n" );
document.write( "    ln5 + ln4/3   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303454 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=303454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I know the answer is x=0.15, but am not sure how to get there. Below I will show my original work done so you can see that I have tried, even though I am certain it is incorrect. <BR>\n" );
document.write( "(4/3)^(1-x) = 5^x<BR>\n" );
document.write( "(1-x)ln(4/3) = x ln5<BR>\n" );
document.write( "ln4/3-(ln4/3)x=(ln5)x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[ln(5)+ln(4/3)]x = ln(4/3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[ln[(20/3)]x = ln(4/3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [ln(4/3)]/[ln(20/3)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 0.2877/1.8971<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x = 0.1516...<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );