simplify ln(10/16)

Solution

simplify

ln (\frac{10}{16})

ln (10) - 4 ln (2)

Decimal Notation

- 0.47000 \dots

Solution steps

ln (\frac{10}{16})

Apply log rule:

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

ln (\frac{10}{16}) = ln (10) - ln (16)

= ln (10) - ln (16)

ln (16) = 4 ln (2)

= ln (10) - 4 ln (2)

2.49 - \frac{0.0592}{1} \cdot lo g_{10} (\frac{0.35}{0.25})

lo g_{10} (\frac{4 x ^{2}}{( 3 x y ) ^{5}})

\frac{1}{3} ln (x) + \frac{10}{12} ln (x + 3) - \frac{1}{6} ln (x - 3)

\frac{1}{3} (5 ln (x + 6) - ln (x) - ln (x^{2} - 25))