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Popular >

simplify ln(z/(x-y))

Solution

simplify

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

Solution

ln (z) - ln (x - y)

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify 1/3 ln((47)/(56.37))simplify

\frac{1}{3} ln (\frac{47}{56.37})

simplify ln(3e^{-3x})simplify

ln (3 e^{- 3 x})

simplify 2/3 ln((e^2+1)(e+1)(e-1)(e^8+e^4+1))simplify

\frac{2}{3} ln ((e^{2} + 1) (e + 1) (e - 1) (e^{8} + e^{4} + 1))

simplify log_{35/18}(200)-log_{35/18}(4.1)simplify

lo g_{\frac{35}{18}} (200) - lo g_{\frac{35}{18}} (4.1)

expand log_{10}(z/(y^7))expand

lo g_{10} (\frac{z}{y ^{7}})

Frequently Asked Questions (FAQ)

What is ln(z/(x-y)) ?
The solution to ln(z/(x-y)) is ln(z)-ln(x-y)