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

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

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

simplify

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_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

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{x}{y ^{6}})

4 lo g_{10} (x) - lo g_{10} (x + 11)

lo g_{10} (\frac{x y ^{4}}{z ^{3}})

- lo g_{10} (\frac{1}{x})

f (x) = 2 ln (x + 2) - ln (x + 2) - ln (2) - 3

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