What is expand log_{2}((16)/(x^4)) ?

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

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expand log_{2}((16)/(x^4))

expand

lo g_{2} (\frac{16}{x ^{4}})

4 - 4 lo g_{2} (x)

Solution steps

lo g_{2} (\frac{16}{x ^{4}})

Apply log rule:

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

lo g_{2} (\frac{16}{x ^{4}}) = lo g_{2} (16) - lo g_{2} (x^{4})

= lo g_{2} (16) - lo g_{2} (x^{4})

Apply log rule:

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

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

= lo g_{2} (16) - 4 lo g_{2} (x)

lo g_{2} (16) = 4

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

5 lo g_{3} (z) + 7 lo g_{3} (y)

1.76776 ln (\frac{1}{( 2 2 )})

0.8 + 1.4 \cdot ln (\frac{π \cdot 10 0 ^{2}}{1200})

ln (16 \cdot 1 0^{3})

ln (\frac{233955}{388533}) - ln (1 - \frac{233955}{388533})

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