What is 2log_{10}(x)-6log_{10}(y) ?

The solution to 2log_{10}(x)-6log_{10}(y) is log_{10}((x^2)/(y^6))

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simplify 2log_{10}(x)-6log_{10}(y)

simplify

2 lo g_{10} (x) - 6 lo g_{10} (y)

lo g_{10} (\frac{x ^{2}}{y ^{6}})

Solution steps

2 lo g_{10} (x) - 6 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}) - 6 lo g_{10} (y)

Apply log rule:

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

6 lo g_{10} (y) = lo g_{10} (y^{6})

= lo g_{10} (x^{2}) - lo g_{10} (y^{6})

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^{6}) = lo g_{10} (\frac{x ^{2}}{y ^{6}})

= lo g_{10} (\frac{x ^{2}}{y ^{6}})

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

(lo g_{c} (x) - lo g_{c} (y)) + 8 lo g_{c} (v)

lo g_{2} (e^{- x} cos (π x))

ln (\frac{1}{2 π})

ln (\frac{1 + sin ( x )}{1 - sin ( x )})

What is 2log_{10}(x)-6log_{10}(y) ?
The solution to 2log_{10}(x)-6log_{10}(y) is log_{10}((x^2)/(y^6))