en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

join (ln(3/11)*4)/3

Solution

join

\frac{ln ( \frac{3}{11} ) \cdot 4}{3}

Solution

\frac{ln ( \frac{81}{14641} )}{3}

+1

Decimal Notation

- 1.73237 \dots

Solution steps

\frac{ln ( \frac{3}{11} ) \cdot 4}{3}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

ln (\frac{3}{11}) \cdot 4 = ln ((\frac{3}{11})^{4})

= \frac{ln ( ( \frac{3}{11} ) ^{4} )}{3}

(\frac{3}{11})^{4} = \frac{3 ^{4}}{1 1 ^{4}}

= \frac{ln ( \frac{3 ^{4}}{1 1 ^{4}} )}{3}

\frac{3 ^{4}}{1 1 ^{4}} = \frac{81}{14641}

= \frac{ln ( \frac{81}{14641} )}{3}

Popular Examples

simplify ln(54/121)simplify

ln (\frac{54}{121})

expand log_{10}((\sqrt[3]{y^4z^4})/x)expand

expand ln(16/5)expand

ln (\frac{16}{5})

simplify 6ln(x)-ln(x^2)simplify

6 ln (x) - ln (x^{2})

simplify ln((1-0.78)/(0.78))simplify

ln (\frac{1 - 0.78}{0.78})

Frequently Asked Questions (FAQ)

What is join (ln(3/11)*4)/3 ?
The solution to join (ln(3/11)*4)/3 is (ln(81/14641))/3