What is ln((3sqrt(5))/(\sqrt[3]{7)}) ?

The solution to ln((3sqrt(5))/(\sqrt[3]{7)}) is ln(3)+1/2 ln(5)-1/3 ln(7)

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simplify ln((3sqrt(5))/(\sqrt[3]{7)})

simplify

ln (3) + \frac{1}{2} ln (5) - \frac{1}{3} ln (7)

Decimal Notation

1.25469 \dots

Solution steps

Apply log rule:

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (35) = ln (3) + ln (5)

ln (5) = \frac{1}{2} ln (5)

= ln (3) + \frac{1}{2} ln (5) - \frac{1}{3} ln (7)

ln (w) + 6 ln (u) - 2 ln (v)

\frac{9}{2} ln (\frac{3}{2}) + \frac{3}{8} - ln (2) - ln (2)

182000 (ln (0.79) - ln (1.3))

x e^{y} + y e^{z} + 2 ln (x) - 2 - ln (8)

5 \cdot ln (3 \cdot 45)

What is ln((3sqrt(5))/(\sqrt[3]{7)}) ?
The solution to ln((3sqrt(5))/(\sqrt[3]{7)}) is ln(3)+1/2 ln(5)-1/3 ln(7)