8^x = 0.25 how do you work out x?

$${{log}}_{{\mathtt{8}}}{\left({\mathtt{0.25}}\right)}$$

.

$${\frac{{\mathtt{0.25}}}{{\mathtt{8}}}} = {\frac{{\mathtt{1}}}{{\mathtt{32}}}} = {\mathtt{0.031\: \!25}}$$

.

Anonymous is correct:

$${{log}}_{{\mathtt{0.8}}}{\left({\mathtt{0.25}}\right)} = {\mathtt{6.212\: \!567\: \!439\: \!010\: \!781}}$$

 

$${{\mathtt{0.8}}}^{{\mathtt{6.212\: \!567\: \!439\: \!010\: \!781}}} = {\frac{{\mathtt{1}}}{{\mathtt{4}}}} = {\mathtt{0.249\: \!999\: \!999\: \!999\: \!999\: \!9}}$$