What is expand log_{10}(x/(yz)) ?

The solution to expand log_{10}(x/(yz)) is log_{10}(x)-log_{10}(y)-log_{10}(z)

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expand log_{10}(x/(yz))

expand

lo g_{10} (\frac{x}{yz})

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

Solution steps

lo g_{10} (\frac{x}{yz})

Apply log rule:

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

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

= lo g_{10} (x) - lo g_{10} (yz)

Apply log rule:

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

lo g_{10} (yz) = lo g_{10} (y) + lo g_{10} (z)

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

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

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

4 lo g_{b} (x) + 5 lo g_{b} (z)

ln (\frac{1}{2 x})

lo g_{4} (9 x)

lo g_{10} (\frac{x y ^{5}}{z ^{5}})

lo g_{10} (x^{2} \frac{x + 3}{x - 1})

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