What is 1/(2.5)ln(1/(1-0.9)) ?

The solution to 1/(2.5)ln(1/(1-0.9)) is -(ln(0.1))/(2.5)

Popular >

simplify 1/(2.5)ln(1/(1-0.9))

simplify

\frac{1}{2.5} ln (\frac{1}{1 - 0.9})

- \frac{ln ( 0.1 )}{2.5}

Decimal Notation

0.92103 \dots

Solution steps

\frac{1}{2.5} ln (\frac{1}{1 - 0.9})

Apply log rule:

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

ln (\frac{1}{1 - 0.9}) = ln (1) - ln (1 - 0.9)

= \frac{1}{2.5} (ln (1) - ln (1 - 0.9))

Multiply fractions:

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

= \frac{1 \cdot ( ln ( 1 ) - ln ( 1 - 0.9 ) )}{2.5}

1 \cdot (ln (1) - ln (1 - 0.9)) = ln (1) - ln (0.1)

= \frac{ln ( 1 ) - ln ( 0.1 )}{2.5}

Apply log rule:

lo g_{a} (1) = 0

= \frac{0 - ln ( 0.1 )}{2.5}

0 - ln (0.1) = - ln (0.1)

= \frac{- ln ( 0.1 )}{2.5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{ln ( 0.1 )}{2.5}

lo g_{10} (c (\frac{a ( t ) L ( t )}{K ( t )})^{1 - a})

4 lo g_{2} (x) - 6 lo g_{2} (y)

ln (18 \cdot 1 0^{2})

41.86 \cdot ln (\frac{288}{273})

\frac{1}{3} ln (\frac{10}{3}) \cdot 15 + ln (\frac{1}{10})

What is 1/(2.5)ln(1/(1-0.9)) ?
The solution to 1/(2.5)ln(1/(1-0.9)) is -(ln(0.1))/(2.5)