# How do you solve 2^x*5=10^x?

$x = 1$
${2}^{x} \cdot 5 = {10}^{x}$ or ${2}^{x} / \left({10}^{x}\right) 5 = 1$
or $5 {\left(\frac{2}{10}\right)}^{x} = 1$ or ${\left(\frac{1}{5}\right)}^{x} = \frac{1}{5}$
then, $x = 1$