simplify ln(1/(-x))

Solution

simplify

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

- ln (- x)

Solution steps

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

Apply log rule:

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

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

= ln (1) - ln (- x)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- x)

0 - ln (- x) = - ln (- x)

= - ln (- x)

ln (\frac{1.5 \cdot 1 0 ^{4}}{1.5 \cdot 1 0 ^{10}})

\frac{( ln ( 0.25 ) + ln ( 0.5 ) + ln ( 0.75 ) ) \cdot 2 \cdot 0.5}{2}

(\frac{3}{2})^{2} \cdot ln (\frac{3}{2})

lo g_{b} (5) + 2 lo g_{b} (2)

ln (0.26) - ln (0.394)