Question 997659

solve for x:(1/4)^x=14
<pre>Easiest method: {{{(1/4)^x = 14}}} 
{{{4^(- x) = 14}}} ------> {{{(1/4)^x}}} is equivalent to {{{4^(- x)}}}
{{{log (4, 14) = - x}}} ------- Converting to logarithmic form
{{{log(14)/log(4) = - x}}} ------ Applying change of base
1.903677461 = - x
x = {{{1.903677461/(- 1)}}} -------> {{{highlight_green(x = - 1.903677461)}}}