What is expand log_{10}(x/(y^6)) ?

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

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expand log_{10}(x/(y^6))

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

lo g_{b} (\frac{64}{x + 1})

3 lo g_{b} (m) - lo g_{b} (n)

\frac{1}{4} lo g_{b} (x) + 3 lo g_{b} (y) - 2 lo g_{b} (x)

2 ln (2 e)

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