What is expand log_{2}(sqrt(4wz)) ?

The solution to expand log_{2}(sqrt(4wz)) is 1/2 log_{2}(wz)+1

Popular >

expand log_{2}(sqrt(4wz))

expand

lo g_{2} (4 w z)

\frac{1}{2} lo g_{2} (w z) + 1

Solution steps

lo g_{2} (4 w z)

4 w z = 2 w z

= lo g_{2} (2 w z)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} (2 w z) = lo g_{2} (w z) + lo g_{2} (2)

= lo g_{2} (w z) + lo g_{2} (2)

Simplify

lo g_{2} (2) : 1

Rewrite as

= lo g_{2} ((w z)^{\frac{1}{2}}) + 1

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} lo g_{2} (w z) + 1

\frac{x ^{4} - x ^{3} - 9 x ^{2} - 9 x - 27}{x ^{3} ( x + 3 ) ( x - 3 )}

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

(\frac{3}{x})^{1 + 4 x} (4 ln (\frac{3}{x}) - \frac{1 + 4 x}{x})

(t - 3) H (t - 1)

\frac{- 2 x ^{2} + 3 x - 24}{( x ^{2} + 9 ) ( x - 2 )}

What is expand log_{2}(sqrt(4wz)) ?
The solution to expand log_{2}(sqrt(4wz)) is 1/2 log_{2}(wz)+1