What is expand log_{10}(3y(5y+8)) ?

The solution to expand log_{10}(3y(5y+8)) is log_{10}(3)+log_{10}(y)+log_{10}(5y+8)

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expand log_{10}(3y(5y+8))

expand

lo g_{10} (3 y (5 y + 8))

lo g_{10} (3) + lo g_{10} (y) + lo g_{10} (5 y + 8)

Solution steps

lo g_{10} (3 y (5 y + 8))

Apply log rule:

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

lo g_{10} (3 y (5 y + 8)) = lo g_{10} (3) + lo g_{10} (y) + lo g_{10} (5 y + 8)

= lo g_{10} (3) + lo g_{10} (y) + lo g_{10} (5 y + 8)

lo g_{10} ((\frac{m ^{5}}{n})^{2})

- lo g_{10} (2.3 \times 1 0^{- 8})

lo g_{10} (a) + 3 lo g_{10} (b) - 2 lo g_{10} (c)

lo g_{d} (u^{3} v^{4})

lo g_{6} (x^{2}) - lo g_{6} (x) - lo g_{6} (y)

What is expand log_{10}(3y(5y+8)) ?
The solution to expand log_{10}(3y(5y+8)) is log_{10}(3)+log_{10}(y)+log_{10}(5y+8)