simplify ln(z y/x)

Solution

simplify

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

ln (z) + + ln (y) - ln (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (\frac{25}{360 - 25})

5 lo g_{3} (x) + 3 lo g_{3} (y) - 2

ln (1 - i) - ln (1 + i)

ln (\frac{201.5}{200.75})

3 lo g_{a} (x) + 2 lo g_{a} (y)