en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(sqrt(2x-1))

Solution

expand

ln (2 x - 1)

Solution

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

Solution steps

ln (2 x - 1)

Rewrite as

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

expand (2(31-4sqrt(10)))/9 expand

\frac{2 ( 31 - 4 10 )}{9}

expand 3(a-1/6)^2-145/12 expand

3 (a - \frac{1}{6})^{2} - \frac{145}{12}

expand (sqrt(t)+2t)^4+(sqrt(t)-2t)^4 expand

(t + 2 t)^{4} + (t - 2 t)^{4}

expand tan(θ)(sec(θ)-1)expand

tan (θ) (sec (θ) - 1)

((16x^4))/(3*(9-x^2))

\frac{( 16 x ^{4} )}{3 \cdot ( 9 - x ^{2} )}

Frequently Asked Questions (FAQ)

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