What is expand log_{4}(x^4)sqrt(y) ?

The solution to expand log_{4}(x^4)sqrt(y) is 4log_{4}(x)sqrt(y)

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expand log_{4}(x^4)sqrt(y)

expand

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

4 lo g_{4} (x) y

Solution steps

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

Apply log rule:

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

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

= 4 lo g_{4} (x) y

5 ln (\frac{5}{2}) - 5

2 lo g_{10} (x + 3) - 5 lo g_{10} (x - 1)

ln (5 e^{- i \frac{7 π}{4}})

ln (\frac{- 1}{( e ^{x} + c )})

What is expand log_{4}(x^4)sqrt(y) ?
The solution to expand log_{4}(x^4)sqrt(y) is 4log_{4}(x)sqrt(y)