What is expand log_{10}((1+i)^{-20}) ?

The solution to expand log_{10}((1+i)^{-20}) is -20log_{10}(1+i)

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expand log_{10}((1+i)^{-20})

expand

lo g_{10} ((1 + i)^{- 20})

- 20 lo g_{10} (1 + i)

Solution steps

lo g_{10} ((1 + i)^{- 20})

Apply log rule:

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

lo g_{10} ((1 + i)^{- 20}) = - 20 lo g_{10} (1 + i)

= - 20 lo g_{10} (1 + i)

ln (\frac{55}{50}) + ((0.06 + 0.4) \cdot 0.5)

lo g_{10} (\frac{7 y ^{3}}{4 x ^{2}})

(- 0.94 + 1.96 \cdot 0.21) \cdot (ln (7.9) - ln (7.5) \cdot 100)

- 182000 \cdot (ln (1.3) - ln (0.54))

ln (\frac{3 x}{x ^{2} - x - 6})

What is expand log_{10}((1+i)^{-20}) ?
The solution to expand log_{10}((1+i)^{-20}) is -20log_{10}(1+i)