Question 1202070
<pre>
Solve for the unknown

Logbase1/4 64=n

         {{{matrix(1,3, n, "=", log (1/4, (64)))}}}
     {{{matrix(1,3, (1/4)^n, "=", 64)}}} ----- Converting to EXPONENTIAL form 
 {{{matrix(1,3, (4^(- 1))^n, "=", 64)}}} ----- Converting {{{(1/4)^n}}} to 4<sup>- 1</sup>
    {{{matrix(1,3, 4^(- n), "=", 4^3)}}}
       - n = 3 ------- Exponents set equal to each other, since bases are equal
{{{highlight_green(matrix(1,5, highlight(n), "=", 3/(- 1), "=", highlight(- 3)))}}}</pre>