What is expand log_{10}(z/(y^7)) ?

The solution to expand log_{10}(z/(y^7)) is log_{10}(z)-7log_{10}(y)

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expand log_{10}(z/(y^7))

expand

lo g_{10} (\frac{z}{y ^{7}})

lo g_{10} (z) - 7 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{z}{y ^{7}})

Apply log rule:

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

lo g_{10} (\frac{z}{y ^{7}}) = lo g_{10} (z) - lo g_{10} (y^{7})

= lo g_{10} (z) - lo g_{10} (y^{7})

Apply log rule:

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

lo g_{10} (y^{7}) = 7 lo g_{10} (y)

= lo g_{10} (z) - 7 lo g_{10} (y)

25 ln (\frac{20}{600})

- ln (x - 1) - ln (x + 1)

- ln (\frac{3}{11})

- lo g_{10} (4.83 x 1 0^{- 5})

e ln^{\frac{1}{x ^{2} + y ^{2}}} (x)

What is expand log_{10}(z/(y^7)) ?
The solution to expand log_{10}(z/(y^7)) is log_{10}(z)-7log_{10}(y)