What is expand log_{10}((15)/(xy)) ?

The solution to expand log_{10}((15)/(xy)) is log_{10}(15)-log_{10}(x)-log_{10}(y)

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expand log_{10}((15)/(xy))

expand

lo g_{10} (\frac{15}{x y})

lo g_{10} (15) - lo g_{10} (x) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{15}{x y})

Apply log rule:

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

lo g_{10} (\frac{15}{x y}) = lo g_{10} (15) - lo g_{10} (x y)

= lo g_{10} (15) - lo g_{10} (x y)

Apply log rule:

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

lo g_{10} (x y) = lo g_{10} (x) + lo g_{10} (y)

= lo g_{10} (15) - (lo g_{10} (x) + lo g_{10} (y))

- (lo g_{10} (x) + lo g_{10} (y)) : - lo g_{10} (x) - lo g_{10} (y)

= lo g_{10} (15) - lo g_{10} (x) - lo g_{10} (y)

ln (e^{x}) - ln (1 + e^{x})

2 + lo g_{10} (x) + lo g_{10} (y)

lo g_{10} (\frac{z}{x ^{7}})

2 lo g_{10} (p) + 5 lo g_{10} (q) - lo g_{10} (r)

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

What is expand log_{10}((15)/(xy)) ?
The solution to expand log_{10}((15)/(xy)) is log_{10}(15)-log_{10}(x)-log_{10}(y)