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Popular >

simplify ln(sqrt(1-2x))

Solution

simplify

ln (1 - 2 x)

Solution

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

Solution steps

ln (1 - 2 x)

Rewrite as

= ln ((1 - 2 x)^{\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 (- 2 x + 1)

Popular Examples

integral from-pi to pi of e^x

\int_{- π}^{π} e^{x} d x

derivative of x^4(3-x^3)

\frac{d}{d x} (x^{4} (3 - x)^{3})

integral of 1-tan^2(x)

\int 1 - tan^{2} (x) d x

y^{''}+11y^'+28y=0

y^{^{''}} + 11 y^{^{'}} + 28 y = 0

derivative of (3x-2^2)

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

Frequently Asked Questions (FAQ)

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