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}) \cdot 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

ln (x^{15} \frac{y ^{19}}{z ^{12}})

ln (\frac{e ^{7}}{11})

2 x ln (y) - 3 y ln (x) + ln (\frac{x}{y})

ln (x^{2} - 2 x - 24) - ln (x + 4)

lo g_{10} (x) - 2 lo g_{10} (y) + lo g_{10} (z)

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)