What is expand ln(sqrt(x^2-25)) ?

The solution to expand ln(sqrt(x^2-25)) is 1/2 ln(x^2-25)

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expand ln(sqrt(x^2-25))

expand

ln (x^{2} - 25)

\frac{1}{2} ln (x^{2} - 25)

Solution steps

ln (x^{2} - 25)

Rewrite as

= ln ((x^{2} - 25)^{\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} - 25)

\frac{7}{( x ^{2} - 3 x ) ^{2}}

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

ro t a c i o na l (x^{2} y, - 3 x z, 3 x)

\frac{3}{( s + 1 ) ( s + 3 )}

\frac{18 + 12}{6 + 4}

What is expand ln(sqrt(x^2-25)) ?
The solution to expand ln(sqrt(x^2-25)) is 1/2 ln(x^2-25)