Multiplying two logarithms I've searched for some answer already, but couldn't find any solution to this problem. Apparently, there's no rule for the product of two logarithms. How would I then find the exact solution of this problem?
$$
\log(x) = \log(100x) \, \log(2)
$$

$\log(x) = (\log(100) + \log(x))\cdot\log2$
$\log(x) = \log(100)\cdot\log(2) + \log(x)\cdot\log(2)$
This is a linear equation in $\log(x)$!
