simplify ln(20/9)

Solution

simplify

ln (\frac{20}{9})

ln (20) - 2 ln (3)

Decimal Notation

0.79850 \dots

Solution steps

ln (\frac{20}{9})

Apply log rule:

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

ln (\frac{20}{9}) = ln (20) - ln (9)

= ln (20) - ln (9)

ln (9) = 2 ln (3)

= ln (20) - 2 ln (3)

3 lo g_{4} (x) + 5 lo g_{4} (y)

- \frac{4}{ln ( 6 ) 5}

\frac{3}{4} \cdot ln (2)

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

ln (284.7) - ln (1002.5)