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Popular >

simplify ln(z(z-1)^2)

Solution

simplify

ln (z (z - 1)^{2})

Solution

ln (z) + 2 ln (z - 1)

Solution steps

ln (z (z - 1)^{2})

Apply log rule:

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

ln (z (z - 1)^{2}) = ln (z) + ln ((z - 1)^{2})

= ln (z) + ln ((z - 1)^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((z - 1)^{2}) = 2 ln (z - 1)

= ln (z) + 2 ln (z - 1)

Popular Examples

simplify ln((6.05+8.05)/(31.8))simplify

ln (\frac{6.05 + 8.05}{31.8})

simplify log_{9}(5)+log_{9}(7)simplify

lo g_{9} (5) + lo g_{9} (7)

simplify 1/3 log_{b}(x)+5log_{b}(y)-2log_{b}(x)simplify

\frac{1}{3} lo g_{b} (x) + 5 lo g_{b} (y) - 2 lo g_{b} (x)

simplify ln((9+sqrt(61))/(10))simplify

ln (\frac{9 + 61}{10})

simplify log_{10}(100a)simplify

lo g_{10} (100 a)

Frequently Asked Questions (FAQ)

What is ln(z(z-1)^2) ?
The solution to ln(z(z-1)^2) is ln(z)+2ln(z-1)