What is expand ln(sqrt(x^2-36)) ?

The solution to expand ln(sqrt(x^2-36)) is 1/2 ln(x^2-36)

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expand ln(sqrt(x^2-36))

expand

ln (x^{2} - 36)

\frac{1}{2} ln (x^{2} - 36)

Solution steps

ln (x^{2} - 36)

Rewrite as

= ln ((x^{2} - 36)^{\frac{1}{2}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} ln (x^{2} - 36)

0.75 (x + 20 = 2 + 0.5 (x - 2))

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

a + b e^{a (t - t_{0})}

\frac{( x + 7 ) ( x + 5 )}{x + 4}

2 (x + \frac{π}{3})

What is expand ln(sqrt(x^2-36)) ?
The solution to expand ln(sqrt(x^2-36)) is 1/2 ln(x^2-36)