What is expand log_{10}((1+isqrt(3))^{2022}) ?

The solution to expand log_{10}((1+isqrt(3))^{2022}) is 2022log_{10}(1+isqrt(3))

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expand log_{10}((1+isqrt(3))^{2022})

expand

lo g_{10} ((1 + i 3)^{2022})

2022 lo g_{10} (1 + i 3)

Solution steps

lo g_{10} ((1 + i 3)^{2022})

Apply log rule:

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

lo g_{10} ((1 + i 3)^{2022}) = 2022 lo g_{10} (1 + i 3)

= 2022 lo g_{10} (1 + i 3)

ln (\frac{e ^{x^{2}} cos ( x )}{2 x + 4})

ln (\frac{x ^{2}}{e ^{x} cos ( x )})

ln (e \frac{3}{2})

- lo g_{10} (2 \cdot 1 0^{- 8})

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

What is expand log_{10}((1+isqrt(3))^{2022}) ?
The solution to expand log_{10}((1+isqrt(3))^{2022}) is 2022log_{10}(1+isqrt(3))