simplify ln(48/5)

Solution

simplify

ln (\frac{48}{5})

ln (48) - ln (5)

Decimal Notation

2.26176 \dots

Solution steps

ln (\frac{48}{5})

Apply log rule:

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

ln (\frac{48}{5}) = ln (48) - ln (5)

= ln (48) - ln (5)

ln \frac{2 ^{\frac{3}{2}}}{( 2 + \frac{3}{2} ) ^{\frac{3}{4}}}

\frac{1}{9} lo g_{6} (3)

1.017 \cdot ln (\frac{500}{300}) - 0.287 \cdot ln (\frac{650}{100})

- \frac{1}{4} ln (2 t - 1) + \frac{3}{4} ln (2 t + 1)

2 lo g_{0.29} (2) - lo g_{0.29} (13)