What is log_{10}((3x)/y) ?

The solution to log_{10}((3x)/y) is log_{10}(3)+log_{10}(x)-log_{10}(y)

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simplify log_{10}((3x)/y)

simplify

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

lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (y)

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{10} (3 x) : lo g_{10} (3) + lo g_{10} (x)

= lo g_{10} (3) + lo g_{10} (x) - lo g_{10} (y)

ln ∣ b ∣ - ln ∣ a ∣

lo g_{2} (64 p)

ln (\frac{11}{6})

lo g_{10} (\frac{x a ^{2}}{y ^{7}})

What is log_{10}((3x)/y) ?
The solution to log_{10}((3x)/y) is log_{10}(3)+log_{10}(x)-log_{10}(y)