développer log_{10}(sqrt(x^3y^{-4)})

Solution

développer

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

\frac{3}{2} lo g_{10} (x) - 2 lo g_{10} (y)

étapes des solutions

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

x^{3} y^{- 4} = \frac{x x}{y ^{2}}

= lo g_{10} (\frac{x x}{y ^{2}})

Appliquer la loi des logarithmes:

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

lo g_{10} (\frac{x x}{y ^{2}}) = lo g_{10} (x x) - lo g_{10} (y^{2})

= lo g_{10} (x x) - lo g_{10} (y^{2})

Simplifier

lo g_{10} (y^{2}) : 2 lo g_{10} (y)

lo g_{10} (x x) = \frac{3}{2} lo g_{10} (x)

= \frac{3}{2} lo g_{10} (x) - 2 lo g_{10} (y)

\frac{d ^{2}}{d x ^{2}} ((y) (x^{2} - 2 y))

\frac{1}{( n + 1 ) ( n + 2 )}

(x + 3) (x - 3)

\frac{( x - 8 ) ( x + 5 )}{2}

2 (11 + 3)