simplify ln(x/(yz))

Solution

simplify

ln (\frac{x}{yz})

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

Solution steps

ln (\frac{x}{yz})

Apply log rule:

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

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

= ln (x) - ln (yz)

Apply log rule:

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

ln (yz) = ln (y) + ln (z)

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

- (ln (y) + ln (z)) : - ln (y) - ln (z)

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

ln (\frac{e ^{4}}{7})

lo g_{10} (\frac{5 b}{10})

lo g_{7} (6 (y + 4))

lo g_{4} (11 b^{2} c)

2 - lo g_{10} (4 x)