What is expand log_{10}(3y(x+2)^3) ?

The solution to expand log_{10}(3y(x+2)^3) is log_{10}(3)+log_{10}(y)+3log_{10}(x+2)

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expand log_{10}(3y(x+2)^3)

expand

lo g_{10} (3 y (x + 2)^{3})

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

Solution steps

lo g_{10} (3 y (x + 2)^{3})

Apply log rule:

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

lo g_{10} (3 y (x + 2)^{3}) = lo g_{10} (3) + lo g_{10} (y) + lo g_{10} ((x + 2)^{3})

= lo g_{10} (3) + lo g_{10} (y) + lo g_{10} ((x + 2)^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} ((x + 2)^{3}) = 3 lo g_{10} (x + 2)

= lo g_{10} (3) + lo g_{10} (y) + 3 lo g_{10} (x + 2)

ln (3 ∣ x ∣)

lo g_{1.21} (\frac{8}{4}) + 1

ln (6 x) - ln (- 3)

\frac{1}{3} ln (- 2)

ln (y + 1) - ln (y - 1)

What is expand log_{10}(3y(x+2)^3) ?
The solution to expand log_{10}(3y(x+2)^3) is log_{10}(3)+log_{10}(y)+3log_{10}(x+2)