What is log_{10}(x)-log_{10}(y+z) ?

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

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simplify log_{10}(x)-log_{10}(y+z)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{3} (x^{3} y^{2} z)

lo g_{5} (\frac{c}{125})

lo g_{5} (3) + lo g_{5} (7)

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

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