simplify ln(643/30)

Solution

simplify

ln (\frac{643}{30})

ln (643) - ln (30)

Decimal Notation

3.06494 \dots

Solution steps

ln (\frac{643}{30})

Apply log rule:

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

ln (\frac{643}{30}) = ln (643) - ln (30)

= ln (643) - ln (30)

ln (\frac{70}{50}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.01) \cdot 4

ln ∣ y ∣ + ln ∣ x ∣

\frac{1}{2} lo g_{10} (2) + \frac{1}{2} lo g_{10} (5)

[2 ln (3) - 2 ln (9)] - [2 ln (2) - 2 ln (7)]

5 lo g_{10} (x) - 15 lo g_{10} (y)