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Popular >

simplify log_{x}(x^3y)-log_{x}(xy)

Solution

simplify

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

Solution

2

Solution steps

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

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

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

= lo g_{x} (\frac{x ^{3} y}{x y})

Cancel

\frac{x ^{3} y}{x y} : x^{2}

= lo g_{x} (x^{2})

Apply log rule:

lo g_{a} (a^{b}) = b

= 2

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Frequently Asked Questions (FAQ)

What is log_{x}(x^3y)-log_{x}(xy) ?
The solution to log_{x}(x^3y)-log_{x}(xy) is 2