What is expand ln(5*8\sqrt[3]{3*11}) ?

The solution to expand ln(5*8\sqrt[3]{3*11}) is ln(5)+3ln(2)+1/3 ln(33)

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Popular >

expand ln(58\sqrt[3]{311})

expand

ln (5) + 3 ln (2) + \frac{1}{3} ln (33)

Decimal Notation

4.85438 \dots

Solution steps

Apply log rule:

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

= ln (5) + ln (8) + \frac{1}{3} ln (33)

ln (8) = 3 ln (2)

= ln (5) + 3 ln (2) + \frac{1}{3} ln (33)

8 ln (x) - 3 ln (y)

4 lo g_{10} (3 x^{3}) - 12 lo g_{10} (9 x^{8})

ln (9 x^{9}) + ln (10 x^{3})

ln (x + 2) + ln (3)

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

What is expand ln(5*8\sqrt[3]{3*11}) ?
The solution to expand ln(5*8\sqrt[3]{3*11}) is ln(5)+3ln(2)+1/3 ln(33)