Power Rule

Reference > Algebra: Natural Logarithms

Description

The Power Rule states that:

\(\ln{({x}^{y})}=y\ln{x}\)
Examples
\[4\ln{2}\]
1
Use Power Rule: \(\log_{b}{{x}^{c}}=c\log_{b}{x}\)
\[\ln{({2}^{4})}\]

2
Simplify \({2}^{4}\) to \(16\)
\[\ln{16}\]

Done

Decimal Form: 2.772589