What is log_{10}(x)-2log_{10}(y) ?

The solution to log_{10}(x)-2log_{10}(y) is log_{10}(x/(y^2))

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simplify log_{10}(x)-2log_{10}(y)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (y) = lo g_{10} (y^{2})

= lo g_{10} (x) - lo g_{10} (y^{2})

Apply log rule:

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

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

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

20 ln (\frac{1400}{1400 + 100 ( 20 )}) + 9.8 (20)

- lo g_{10} (1.6 \times 1 0^{- 4})

lo g_{4} (\frac{4}{x})

lo g_{10} (2) + lo g_{10} (12)

\frac{lo g _{10} ( 8 ) 3 + lo g _{10} ( 9 ) 3}{lo g _{10} ( 6 )}

What is log_{10}(x)-2log_{10}(y) ?
The solution to log_{10}(x)-2log_{10}(y) is log_{10}(x/(y^2))