simplify ln(497/2)5

Solution

simplify

ln (\frac{497}{2}) 5

(ln (497) - ln (2)) \cdot 5

Decimal Notation

27.57721 \dots

Solution steps

ln (\frac{497}{2}) \cdot 5

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{497}{2}) = ln (497) - ln (2)

= 5 (ln (497) - ln (2))

1.0034 \cdot ln (\frac{523}{303}) - 0.287 \cdot ln (\frac{800}{95})

ln (\frac{e ^{4}}{x})

- lo g_{10} (4.8 \cdot 1 0^{- 8})

\frac{ln ( \frac{7}{2} )}{4 ln ( 2 )}

ln (\frac{77 - 25}{100 - 25})