Solve for x log base 8 of 8/(x^2)=3( log base 8 of x)^2

$\log_{8} (\frac{8}{x^{2}}) = 3 {\log_{8}}^{2} (x)$

Remove parentheses.

$\log_{8} (\frac{8}{x^{2}}) = 3 {\log_{8}}^{2} (x)$

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{1}{8}, 2$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{8}, 2$

Decimal Form:

$x = 0.125, 2$