What is expand log_{2}(sqrt((5x^3)/(y^5z^3))) ?

The solution to expand log_{2}(sqrt((5x^3)/(y^5z^3))) is 1/2 log_{2}((5x^3)/(y^5z^3))

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expand log_{2}(sqrt((5x^3)/(y^5z^3)))

expand

lo g_{2} (\frac{5 x ^{3}}{y ^{5} z ^{3}})

\frac{1}{2} lo g_{2} (\frac{5 x ^{3}}{y ^{5} z ^{3}})

Solution steps

lo g_{2} (\frac{5 x ^{3}}{y ^{5} z ^{3}})

Rewrite as

= lo g_{2} ((\frac{5 x ^{3}}{y ^{5} z ^{3}})^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} lo g_{2} (\frac{5 x ^{3}}{y ^{5} z ^{3}})

(t - cos (t)) (s - 4)

(csc (x) + 1) \cdot tan (x) - sec (x)

\frac{1 - 7 s}{( s - 3 ) ( s - 1 ) ( s + 2 )}

\frac{1}{( - 0.75 e ^{- ia} + 1 ) ( - 0.5 e ^{- ia} + 1 )}

(- 3, t + 2 cos (t) + 1) (- 3 cos (t) - 2, t)

What is expand log_{2}(sqrt((5x^3)/(y^5z^3))) ?
The solution to expand log_{2}(sqrt((5x^3)/(y^5z^3))) is 1/2 log_{2}((5x^3)/(y^5z^3))