How Can You Verify the Reduction Formula $\int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x$

How can you verify the reduction formula: $\int(\ln x) ^{n} d x=x(\ln x) ^{n}-n \int(\ln x) ^{n-1} d x$ in one step?

A) using integration by parts (that is, $\int u d v=u v-\int v d u$ ) with
$u=(\ln x) ^{n}$ and
$d v=d x$ .
B) using integration by parts (that is, $\int u d v=u v-\int v d u$ ) with
$u=(\ln x) ^{n-1}$ and
$d v=\ln x d x$ .
C) using the substitution $w=\ln x$ .