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

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

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

expand

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

lo g_{10} (y) - 4

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (10000) = 4

= lo g_{10} (y) - 4

2 lo g_{10} (2) + lo g_{10} (3)

ln (\frac{y}{2 ^{y}} \cdot (2 - x)^{y - 1})

\frac{1}{2} ln (a) + \frac{1}{2} ln (b)

ln (\frac{z + r ^{2} + z ^{2}}{- z + r ^{2} + z ^{2}})

6 ln (4 x)

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