simplify 1-ln(3/2)

Solution

simplify

1 - ln (\frac{3}{2})

1 - ln (3) + ln (2)

Decimal Notation

0.59453 \dots

Solution steps

1 - ln (\frac{3}{2})

Apply log rule:

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

ln (\frac{3}{2}) = ln (3) - ln (2)

= 1 - (ln (3) - ln (2))

- (ln (3) - ln (2)) : - ln (3) + ln (2)

= 1 - ln (3) + ln (2)

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

ln (y^{5} x^{6})

- lo g_{10} (1.64 \cdot 1 0^{- 2})

ln (x + 5) + ln (2)

3.47 + lo g_{10} (\frac{0.8}{0.25})