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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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)

\frac{1}{2} lo g_{5} (3 x + 2) - lo g_{5} (x + 1)

lo g_{5} ((x - 1)^{2}) - lo g_{5} (x^{2} - 3)

lo g_{e} (\frac{1}{x})

- lo g_{10} (6.5 \times 1 0^{- 5})

ln (\frac{( x ^{2} - 1 ) ^{3}}{( x + 3 ) ^{2}})

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