simplify ln((2e)/x)

Solution

simplify

ln (\frac{2 e}{x})

ln (2) + 1 - ln (x)

Solution steps

ln (\frac{2 e}{x})

Apply log rule:

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

ln (\frac{2 e}{x}) = ln (2 e) - ln (x)

= ln (2 e) - ln (x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 e) = ln (2) + ln (e)

= ln (2) + ln (e) - ln (x)

Apply log rule:

lo g_{a} (a) = 1

= ln (2) + 1 - ln (x)

2 ln (5) + 2 ln (x)

lo g_{10} (- 2 i)

\frac{1}{2} lo g_{3} (x) - 2 lo g_{3} (y + 8)

- lo g_{10} (2.4 \cdot 1 0^{- 7})

ln (\frac{3.7}{1.2})