simplify ln(5/4)*25

Solution

simplify

ln (\frac{5}{4}) \cdot 25

25 (ln (5) - 2 ln (2))

Decimal

5.57858 \dots

Solution steps

ln (\frac{5}{4}) \cdot 25

Apply log rule:

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

ln (\frac{5}{4}) = ln (5) - ln (4)

= 25 (ln (5) - ln (4))

ln (4) = 2 ln (2)

= 25 (ln (5) - 2 ln (2))

ln (\frac{1}{0.15}) 0.1

\frac{1}{2} ln (30) + \frac{1}{2} ln (1 - \frac{1}{2})

5 lo g_{b} (x + 1) - 2 lo g_{b} (y)

ln (\frac{p}{p - 50})

- lo g_{10} (5.62 \cdot 1 0^{- 10})