Question 886824

please solve and show me procedure, solve for x: 5^-1 =x^-6 
<pre>
{{{x^-6 = 5^-1}}}
{{{log (x^- 6) = log (5^- 1)}}} ------ Taking logs of both sides
{{{- 6(log x) = - 1(log 5)}}}
{{{log x = ((- 1)/- 6)(log 5)}}}
{{{log x = (1/6)(log 5)}}}
{{{log x = log 5^(1/6)}}}
Thus, {{{x = 5^(1/6)}}}, or {{{highlight_green(highlight_green(x = 1.307660486))}}}