Find (with an error of less than $\displaystyle \frac{1}{10}$ ) all real numbers x for which $\displaystyle \log_{10}x = \frac{x}{100}$

I assume this can be rewritten as $\displaystyle x = 10^{\frac{x}{100}$ but don't know what next step would be

the answers given are 1.0238 and 237.57 which I got with the TI89 but not sure the steps taken to derive it.

thanks for help

r