What is expand log_{10}(x/(3y)) ?

The solution to expand log_{10}(x/(3y)) is log_{10}(x)-log_{10}(3)-log_{10}(y)

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expand log_{10}(x/(3y))

expand

lo g_{10} (\frac{x}{3 y})

lo g_{10} (x) - lo g_{10} (3) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{3 y})

Apply log rule:

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

lo g_{10} (\frac{x}{3 y}) = lo g_{10} (x) - lo g_{10} (3 y)

= lo g_{10} (x) - lo g_{10} (3 y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (3 y) = lo g_{10} (3) + lo g_{10} (y)

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

- (lo g_{10} (3) + lo g_{10} (y)) : - lo g_{10} (3) - lo g_{10} (y)

= lo g_{10} (x) - lo g_{10} (3) - lo g_{10} (y)

- lo g_{10} (\frac{1 \cdot 1 0 ^{- 14}}{1.3 \cdot 1 0 ^{- 3}})

ln ((1 - 3 i)^{10})

2 ln (3) + 4 ln (h)

5 ln (m) - 3 ln (n)

ln^{2} (x) + ln (x) - 6

What is expand log_{10}(x/(3y)) ?
The solution to expand log_{10}(x/(3y)) is log_{10}(x)-log_{10}(3)-log_{10}(y)