What is expand log_{3}(sqrt((3wxy)/(5z))) ?

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

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expand log_{3}(sqrt((3wxy)/(5z)))

expand

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

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

Solution steps

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

Rewrite as

= lo g_{3} ((\frac{3 w x y}{5 z})^{\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_{3} (\frac{3 w x y}{5 z})

\frac{y ( 1 - y ^{2} ) ^{2}}{2}

- 4 (3 - 4 x) - 2 (x - 1 = 12 x)

A (3, - 1) B (5, 2)

\frac{( 1 + x ) ^{2}}{4}

12 (\frac{X - 7}{4} + \frac{25 ( X - 2 )}{3} = \frac{5 X + 35}{4} + \frac{5}{2} (X - 7))

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