simplify 1-4ln(5/4)

Solution

simplify

1 - 4 ln (\frac{5}{4})

1 - 4 (ln (5) - 2 ln (2))

Decimal Notation

0.10742 \dots

Solution steps

1 - 4 ln (\frac{5}{4})

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)

= 1 - 4 (ln (5) - ln (4))

ln (4) = 2 ln (2)

= 1 - 4 (ln (5) - 2 ln (2))

lo g_{8} (w^{6} u)

\frac{1}{2} x - 5 + 3 ln (x - 1) - 3 ln (x - 2)

ln (\frac{1200}{400})

ln (\frac{2}{y - 2})

ln (\frac{50 \cdot 12}{70.5 \cdot 8.9})