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

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

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

simplify

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

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

Solution steps

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

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

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

lo g_{4} (\frac{64}{x - 8})

ln (y \frac{x}{z})

1925000 ln (11) - 1225000 ln (7) - 700000

ln (c x)

lo g_{10} (4 (x + 8)^{5})

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