Power Rule

Reference > Algebra: Common Logarithms

Description

The Power Rule states that:

\(\log_{b}{{x}^{c}}=c\log_{b}{x}\)
Examples
\[4\log_{3}{2}\]
1
Use Power Rule: \(\log_{b}{{x}^{c}}=c\log_{b}{x}\)
\[\log_{3}{{2}^{4}}\]

2
Simplify \({2}^{4}\) to \(16\)
\[\log_{3}{16}\]

Done

Decimal Form: 2.523719