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Popular >

expand ln((xy)/z)

Solution

expand

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

Solution

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

Solution steps

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

Apply log rule:

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

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

= ln (x y) - ln (z)

Apply log rule:

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

ln (x y) = ln (x) + ln (y)

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

Popular Examples

simplify log_{b}(y^3x)simplify

lo g_{b} (y^{3} x)

simplify-log_{10}(7.9*10^{-5})simplify

- lo g_{10} (7.9 \cdot 1 0^{- 5})

simplify 1/2 log_{c}(x)+4log_{c}(y)-2log_{c}(x)simplify

\frac{1}{2} lo g_{c} (x) + 4 lo g_{c} (y) - 2 lo g_{c} (x)

simplify ln(ab^2)simplify

ln (a b^{2})

simplify log_{10}(x)+3log_{10}(y)-4log_{10}(z)simplify

lo g_{10} (x) + 3 lo g_{10} (y) - 4 lo g_{10} (z)

Frequently Asked Questions (FAQ)

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