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

6 ln (2) + ln (\frac{π ^{8}}{5})

3 ln (3) + 4 ln (b)

lo g_{e} (2 x - 5) - lo g_{e} (1 - (2 x - 5))

25000 lo g_{2} (1 + 1010)

ln (\frac{x}{e ^{t}})

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)