.55 = log(x)

This problem states that log base 10 (x) equals 0.55, so take the corresponding exponential equation.

For example:

$${{log}}_{{\mathtt{2}}}{\left({\mathtt{8}}\right)} = {\mathtt{3}}$$

$${{\mathtt{2}}}^{{\mathtt{3}}} = {\mathtt{8}}$$

So since the problem's equation is:

$${{log}}_{{\mathtt{10}}}{\left({\mathtt{x}}\right)} = {\mathtt{0.55}}$$

Then:

$${{\mathtt{10}}}^{{\mathtt{0.55}}} = {\mathtt{x}}$$

x = $${{\mathtt{10}}}^{{\mathtt{0.55}}} = {\mathtt{3.548\: \!133\: \!892\: \!335\: \!754\: \!6}}$$