What is expand log_{4}((1024)/(x^3)) ?

The solution to expand log_{4}((1024)/(x^3)) is 5-3log_{4}(x)

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expand log_{4}((1024)/(x^3))

expand

lo g_{4} (\frac{1024}{x ^{3}})

5 - 3 lo g_{4} (x)

Solution steps

lo g_{4} (\frac{1024}{x ^{3}})

Apply log rule:

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

lo g_{4} (\frac{1024}{x ^{3}}) = lo g_{4} (1024) - lo g_{4} (x^{3})

= lo g_{4} (1024) - lo g_{4} (x^{3})

Apply log rule:

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

lo g_{4} (x^{3}) = 3 lo g_{4} (x)

= lo g_{4} (1024) - 3 lo g_{4} (x)

lo g_{4} (1024) = 5

= 5 - 3 lo g_{4} (x)

lo g_{e} (2 e)

ln (x^{2} 3 x^{2} - 1)

- lo g_{10} (5.011 \cdot 1 0^{- 5})

ln (\frac{1}{49})

What is expand log_{4}((1024)/(x^3)) ?
The solution to expand log_{4}((1024)/(x^3)) is 5-3log_{4}(x)