What is 1/1828 ln((1814)/(1828-1814)) ?

The solution to 1/1828 ln((1814)/(1828-1814)) is (ln(1814)-ln(14))/(1828)

Popular >

simplify 1/1828 ln((1814)/(1828-1814))

simplify

\frac{1}{1828} ln (\frac{1814}{1828 - 1814})

\frac{ln ( 1814 ) - ln ( 14 )}{1828}

Decimal Notation

0.00266 \dots

Solution steps

\frac{1}{1828} ln (\frac{1814}{1828 - 1814})

Apply log rule:

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

ln (\frac{1814}{1828 - 1814}) = ln (1814) - ln (1828 - 1814)

= \frac{1}{1828} (ln (1814) - ln (1828 - 1814))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( ln ( 1814 ) - ln ( 1828 - 1814 ) )}{1828}

1 \cdot (ln (1814) - ln (1828 - 1814)) = ln (1814) - ln (14)

= \frac{ln ( 1814 ) - ln ( 14 )}{1828}

ln (\frac{87.4}{151.5})

lo g_{8} (3) + 4 lo g_{8} (r)

lo g_{3} (\frac{5 x ^{4}}{y ^{3}})

ln (i) - ln (i - n)

\frac{9}{10} ln (10000) + \frac{1}{10} ln (5000)

What is 1/1828 ln((1814)/(1828-1814)) ?
The solution to 1/1828 ln((1814)/(1828-1814)) is (ln(1814)-ln(14))/(1828)