simplify ln(1 1/2)

Solution

simplify

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

ln (3) - ln (2)

Decimal Notation

0.40546 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

1 \frac{1}{2} = \frac{3}{2}

= 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)

= ln (3) - ln (2)

lo g_{10} (30000 \cdot p \cdot q \cdot (1 - p - q))

ln (\frac{47.932}{75.29})

lo g_{10} (\frac{3 r ^{2}}{r - 8})

lo g_{b} (\frac{p ^{3} q ^{5}}{m ^{3} b ^{7}})

ln (\frac{3}{8 x ^{8} y})