en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(sqrt((x-1)/x))

Solution

simplify

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

Solution

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

Solution steps

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

Rewrite as

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

Popular Examples

2 \frac{1}{2} + 1

expand (x^2-x-3)^2 expand

(x^{2} - x - 3)^{2}

simplify 14*1/4 simplify

14 \cdot \frac{1}{4}

simplify (-1)+(-9)simplify

(- 1) + (- 9)

simplify 4(2a+b)-[2(a-b)]simplify

4 (2 a + b) - [2 (a - b)]

Frequently Asked Questions (FAQ)

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