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

The solution to log_{10}((xy)/(10)) is log_{10}(x)+log_{10}(y)-1

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simplify log_{10}((xy)/(10))

simplify

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

lo g_{10} (x) + lo g_{10} (y) - 1

Solution steps

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

Apply log rule:

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

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

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

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

lo g_{10} (10) = 1

= lo g_{10} (x) + lo g_{10} (y) - 1

5 ln (x) - \frac{1}{3} ln (y)

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

lo g_{x} (9) - lo g_{x} (15) + lo g_{x} (7)

lo g_{b} (\frac{a}{c ^{2}})

4 lo g_{10} (\frac{x}{5}) + lo g_{10} (\frac{625}{4})

What is log_{10}((xy)/(10)) ?
The solution to log_{10}((xy)/(10)) is log_{10}(x)+log_{10}(y)-1