What is expand log_{10}((1-sqrt(3)i)^3) ?

The solution to expand log_{10}((1-sqrt(3)i)^3) is 3log_{10}(1-sqrt(3)i)

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expand log_{10}((1-sqrt(3)i)^3)

expand

lo g_{10} ((1 - 3 i)^{3})

3 lo g_{10} (1 - 3 i)

Solution steps

lo g_{10} ((1 - 3 i)^{3})

Apply log rule:

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

lo g_{10} ((1 - 3 i)^{3}) = 3 lo g_{10} (1 - 3 i)

= 3 lo g_{10} (1 - 3 i)

\frac{1}{2} ln (1 + 2 x^{2}) - \frac{1}{2} ln (1 + y^{2})

ln \frac{C}{( b ^{2} + ( x - a ) ^{2} ) ^{2}}

4 lo g_{10} (2) + lo g_{10}^{2} (5)

- lo g_{10} (6 \cdot 1 0^{- 10})

\frac{1}{2} ln (5 x^{2}) - \frac{1}{2} ln (2 x^{2})

What is expand log_{10}((1-sqrt(3)i)^3) ?
The solution to expand log_{10}((1-sqrt(3)i)^3) is 3log_{10}(1-sqrt(3)i)