simplify ln(e*x/y)

Solution

simplify

ln (e \cdot \frac{x}{y})

ln (e) + + ln (x) - ln (y)

Solution steps

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

Apply log rule:

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

ln (e \frac{x}{y}) = ln (e) + ln (\frac{x}{y})

= ln (e) + ln (\frac{x}{y})

Apply log rule:

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

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

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

ln (5 x e^{5 x})

b \cdot ln (a) - ln (a \cdot b)

\frac{ln ( 16 ) - ln ( 5 )}{( 12 - 2 )}

ln (\frac{m}{p}) + ln (p)

ln (e^{- 2 x} 2 u)