What is ln((\sqrt[3]{2^4})/9) ?

The solution to ln((\sqrt[3]{2^4})/9) is 4/3 ln(2)-2ln(3)

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simplify ln((\sqrt[3]{2^4})/9)

simplify

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

Decimal Notation

- 1.27302 \dots

Solution steps

Apply log rule:

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

= \frac{4}{3} ln (2) - ln (9)

ln (9) = 2 ln (3)

= \frac{4}{3} ln (2) - 2 ln (3)

ln (3) + 5 ln (2)

ln (3 e^{t})

2 ln (7) - 2 ln (2)

ln (\frac{1}{0.75})

ln (5) + 3 ln (x) + 6 ln (x^{2} + 9)

What is ln((\sqrt[3]{2^4})/9) ?
The solution to ln((\sqrt[3]{2^4})/9) is 4/3 ln(2)-2ln(3)