What is 1/2 ln((1+0.919)/(1-0.919)) ?

The solution to 1/2 ln((1+0.919)/(1-0.919)) is (ln(1.919)-ln(0.081))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 ln((1+0.919)/(1-0.919))

simplify

\frac{1}{2} ln (\frac{1 + 0.919}{1 - 0.919})

\frac{ln ( 1.919 ) - ln ( 0.081 )}{2}

Decimal Notation

1.58255 \dots

Solution steps

\frac{1}{2} ln (\frac{1 + 0.919}{1 - 0.919})

Apply log rule:

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

ln (\frac{1 + 0.919}{1 - 0.919}) = ln (1 + 0.919) - ln (1 - 0.919)

= \frac{1}{2} (ln (1 + 0.919) - ln (1 - 0.919))

Multiply fractions:

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

= \frac{1 \cdot ( ln ( 1 + 0.919 ) - ln ( 1 - 0.919 ) )}{2}

1 \cdot (ln (1 + 0.919) - ln (1 - 0.919)) = ln (1.919) - ln (0.081)

= \frac{ln ( 1.919 ) - ln ( 0.081 )}{2}

ln ((x^{5} y)^{5})

2 ln (3) - ln (18)

lo g_{b} (y z^{2})

ln (\frac{e ^{3}}{13})

- lo g_{10} (1.4 \cdot 1 0^{- 3})

What is 1/2 ln((1+0.919)/(1-0.919)) ?
The solution to 1/2 ln((1+0.919)/(1-0.919)) is (ln(1.919)-ln(0.081))/2