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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
log(3,16)