What is expand log_{10}((x/(100))^4) ?

The solution to expand log_{10}((x/(100))^4) is 4(log_{10}(x)-2)

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expand log_{10}((x/(100))^4)

expand

lo g_{10} ((\frac{x}{100})^{4})

4 (lo g_{10} (x) - 2)

Solution steps

lo g_{10} ((\frac{x}{100})^{4})

Apply log rule:

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

lo g_{10} ((\frac{x}{100})^{4}) = 4 lo g_{10} (\frac{x}{100})

= 4 lo g_{10} (\frac{x}{100})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x}{100}) = lo g_{10} (x) - lo g_{10} (100)

= 4 (lo g_{10} (x) - lo g_{10} (100))

lo g_{10} (100) = 2

= 4 (lo g_{10} (x) - 2)

- lo g_{10} (4.7 \cdot 1 0^{- 4})

lo g_{4} (x) + lo g_{4} (x) - 1.5

ln (\frac{6}{13})

- lo g_{10} (\frac{0.00001 - 0.00001}{2})

ln ((\frac{1}{( 2 x )}) e^{\frac{- ∣ a ∣}{x}})

What is expand log_{10}((x/(100))^4) ?
The solution to expand log_{10}((x/(100))^4) is 4(log_{10}(x)-2)