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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
ln(16)