$$\log\ b-3\ \log_{10}^{3}+\frac{2}{3}\log\ 27$$
$\frac{\ln(10)^{3}\log(b)-3\left(\ln(\ln(3))+\ln(2)-\ln(\ln(10))\right)^{3}}{\ln(10)^{3}}$
$\frac{\log(e)}{b}$
