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Popular >

simplify ln(x/(x^2))

Solution

simplify

ln (\frac{x}{x ^{2}})

Solution

- ln (x)

Solution steps

ln (\frac{x}{x ^{2}})

Apply log rule:

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

ln (\frac{x}{x ^{2}}) = ln (x) - ln (x^{2})

= ln (x) - ln (x^{2})

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= ln (x) - 2 ln (x)

Add similar elements:

ln (x) - 2 ln (x) = - ln (x)

= - ln (x)

Popular Examples

simplify ln(x+6)-ln(7)simplify

ln (x + 6) - ln (7)

simplify-log_{10}(1.8*10^{-4}((0.025)/(0.0375)))simplify

- lo g_{10} (1.8 \cdot 1 0^{- 4} (\frac{0.025}{0.0375}))

simplify log_{10}(5*2)-log_{10}(5)*log_{10}(2)simplify

lo g_{10} (5 \cdot 2) - lo g_{10} (5) \cdot lo g_{10} (2)

simplify 4log_{m}(w)-2log_{m}(z)+3log_{m}(y)simplify

4 lo g_{m} (w) - 2 lo g_{m} (z) + 3 lo g_{m} (y)

simplify (3*4pi*10^{-7})/(2pi)ln(10/5)simplify

\frac{3 \cdot 4 π \cdot 1 0 ^{- 7}}{2 π} ln (\frac{10}{5})

Frequently Asked Questions (FAQ)

What is ln(x/(x^2)) ?
The solution to ln(x/(x^2)) is -ln(x)