What is expand log_{4}((16)/(x^4)) ?

The solution to expand log_{4}((16)/(x^4)) is 2-4log_{4}(x)

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expand log_{4}((16)/(x^4))

expand

lo g_{4} (\frac{16}{x ^{4}})

2 - 4 lo g_{4} (x)

Solution steps

lo g_{4} (\frac{16}{x ^{4}})

Apply log rule:

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

lo g_{4} (\frac{16}{x ^{4}}) = lo g_{4} (16) - lo g_{4} (x^{4})

= lo g_{4} (16) - lo g_{4} (x^{4})

Apply log rule:

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

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

= lo g_{4} (16) - 4 lo g_{4} (x)

lo g_{4} (16) = 2

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

lo g_{a} (\frac{x ^{8}}{y z ^{9}})

2 ln ∣ cot (θ) ∣ + 2 ln ∣ sin (θ) ∣

ln (f (x))

(lo g_{a} (x) - lo g_{a} (y)) + 3 lo g_{a} (z)

lo g_{7} (5 x)

What is expand log_{4}((16)/(x^4)) ?
The solution to expand log_{4}((16)/(x^4)) is 2-4log_{4}(x)