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

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

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expand log_{2}((3x)^3)

expand

lo g_{2} ((3 x)^{3})

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

Solution steps

lo g_{2} ((3 x)^{3})

Apply log rule:

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

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

= 3 lo g_{2} (3 x)

Apply log rule:

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

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

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

lo g_{6} (7 x^{2})

lo g_{4} (\frac{x ^{2} - 2 x - 3}{x ^{2} - 3 x})

ln (x^{8} y^{3} z)

ln (y \frac{y}{5 - y})

lo g_{6} (x \cdot y \cdot z^{5})

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