en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln|ln(x)|+ln(x)

Solution

simplify

2 ln ∣ ln (x) ∣ + ln (x)

Solution

ln (x ln^{2} (x))

Solution steps

2 ln ∣ ln (x) ∣ + ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln ∣ ln (x) ∣ = ln (∣ ln (x) ∣^{2})

= ln (∣ ln (x) ∣^{2}) + ln (x)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (∣ ln (x) ∣^{2}) + ln (x) = ln (x ∣ ln (x) ∣^{2})

= ln (x ∣ ln (x) ∣^{2})

∣ ln (x) ∣^{2} = ln^{2} (x)

= ln (x ln^{2} (x))

Popular Examples

simplify (3/(ln(7)-ln(4)))/(3x+4)simplify

\frac{\frac{3}{l n ( 7 ) - l n ( 4 )}}{3 x + 4}

simplify-log_{10}(7.1*10^{-7})simplify

- lo g_{10} (7.1 \cdot 1 0^{- 7})

simplify 5ln(2)+3ln(x)-1/2 ln(x+9)simplify

5 ln (2) + 3 ln (x) - \frac{1}{2} ln (x + 9)

simplify-(ln(0.965)-ln(190/749))/(0.01ln(0.965))simplify

- \frac{ln ( 0.965 ) - ln ( \frac{190}{749} )}{0.01 ln ( 0.965 )}

simplify ln(sin(x))+ln(cos(x))simplify

ln (sin (x)) + ln (cos (x))

Frequently Asked Questions (FAQ)

What is 2ln|ln(x)|+ln(x) ?
The solution to 2ln|ln(x)|+ln(x) is ln(xln^2(x))