# How do you write  log x = y in exponential form?

$x = {e}^{y}$
Simply consider the fact that, if $\log \left(x\right) = y$, than also ${e}^{\log \left(x\right)} = {e}^{y}$ must hold. Now use the fact that the exponential function ${e}^{x}$ is the inverse of the logarithmic function $\log \left(x\right)$, which means that ${e}^{\log \left(x\right)} = x$, and thus the solution.