simplify 0.5ln(9/7)

Solution

simplify

0.5 ln (\frac{9}{7})

0.5 (2 ln (3) - ln (7))

Decimal Notation

0.12565 \dots

Solution steps

0.5 ln (\frac{9}{7})

Apply log rule:

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

ln (\frac{9}{7}) = ln (9) - ln (7)

= 0.5 (ln (9) - ln (7))

ln (9) = 2 ln (3)

= 0.5 (2 ln (3) - ln (7))

\frac{ln ( 60 ) - ln ( 37.8 )}{0.98}

lo g_{2} (\frac{1}{( 1 - p ) ^{n}})

lo g_{x} (0.37) - lo g_{x} (0.73)

- 3 ln (y) + ln (\frac{3 x + 3 y}{y})

ln (\frac{s + 2}{s + 3})