What is 3log_{10}(1-x)-3log_{10}(y) ?

The solution to 3log_{10}(1-x)-3log_{10}(y) is log_{10}(((1-x)^3)/(y^3))

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simplify 3log_{10}(1-x)-3log_{10}(y)

simplify

3 lo g_{10} (1 - x) - 3 lo g_{10} (y)

lo g_{10} (\frac{( 1 - x ) ^{3}}{y ^{3}})

Solution steps

3 lo g_{10} (1 - x) - 3 lo g_{10} (y)

Apply log rule:

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

3 lo g_{10} (- x + 1) = lo g_{10} ((- x + 1)^{3})

= lo g_{10} ((- x + 1)^{3}) - 3 lo g_{10} (y)

Apply log rule:

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

3 lo g_{10} (y) = lo g_{10} (y^{3})

= lo g_{10} ((- x + 1)^{3}) - lo g_{10} (y^{3})

Apply log rule:

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

lo g_{10} ((1 - x)^{3}) - lo g_{10} (y^{3}) = lo g_{10} (\frac{( - x + 1 ) ^{3}}{y ^{3}})

= lo g_{10} (\frac{( 1 - x ) ^{3}}{y ^{3}})

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What is 3log_{10}(1-x)-3log_{10}(y) ?
The solution to 3log_{10}(1-x)-3log_{10}(y) is log_{10}(((1-x)^3)/(y^3))