What is expand log_{10}((sqrt(xz))/Y) ?

The solution to expand log_{10}((sqrt(xz))/Y) is log_{10}(sqrt(xz))-log_{10}(Y)

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expand log_{10}((sqrt(xz))/Y)

expand

lo g_{10} (\frac{x z}{Y})

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

Solution steps

lo g_{10} (\frac{x z}{Y})

Apply log rule:

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

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

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

- lo g_{10} (4.9 \cdot 1 0^{- 6})

4 ln ∣ x - 1 ∣ + 6 ln ∣ x ∣ - \frac{1}{x} + C

4 lo g_{10} (x) - \frac{1}{3} lo g_{10} (x + 6)

9 ln (\frac{9}{2})

4 lo g_{10} (x) + lo g_{10} (y) - 3 lo g_{10} (w)

What is expand log_{10}((sqrt(xz))/Y) ?
The solution to expand log_{10}((sqrt(xz))/Y) is log_{10}(sqrt(xz))-log_{10}(Y)