What is expand log_{10}(x/(10000)) ?

The solution to expand log_{10}(x/(10000)) is log_{10}(x)-4

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expand log_{10}(x/(10000))

expand

lo g_{10} (\frac{x}{10000})

lo g_{10} (x) - 4

Solution steps

lo g_{10} (\frac{x}{10000})

Apply log rule:

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

lo g_{10} (\frac{x}{10000}) = lo g_{10} (x) - lo g_{10} (10000)

= lo g_{10} (x) - lo g_{10} (10000)

lo g_{10} (10000) = 4

= lo g_{10} (x) - 4

- \frac{1}{2} ln ∣ x + 1 ∣ + \frac{1}{2} ln ∣ x - 1 ∣ + C

lo g_{5} (\frac{125}{x - 1})

ln (x (x - 3))

- lo g_{10} (7.7 \cdot 1 0^{- 3})

f (x) = 2 ln (x^{3}) - 3 ln (x)

What is expand log_{10}(x/(10000)) ?
The solution to expand log_{10}(x/(10000)) is log_{10}(x)-4