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Popular >

simplify ln(sqrt(x+5))

Solution

simplify

ln (x + 5)

Solution

\frac{1}{2} ln (x + 5)

Solution steps

ln (x + 5)

Rewrite as

= ln ((x + 5)^{\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 + 5)

Popular Examples

derivative of sqrt(7+6f(x))derivative of

7 + 6 f (x)

integral of x/(sqrt(x^2-2x+5))

\int \frac{x}{x ^{2} - 2 x + 5} d x

(\partial)/(\partial y)(x^3ye^{xy})

\frac{\partial}{\partial y} (x^{3} y e^{x y})

derivative of y= 7/(x^2+3)derivative of

y = \frac{7}{x ^{2} + 3}

(\partial)/(\partial x)(-y-x/(y^2))

\frac{\partial}{\partial x} (- y - \frac{x}{y ^{2}})

Frequently Asked Questions (FAQ)

What is ln(sqrt(x+5)) ?
The solution to ln(sqrt(x+5)) is 1/2 ln(x+5)