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

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

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

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{10} (28) - lo g_{10} (7)

lo g_{3} (9^{2} \cdot 2^{4})

ln (x^{7} 2 - x)

lo g_{b} (7) + 2 lo g_{b} (2)

lo g_{a} (4 x^{5} y)

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