en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln^2(1/4)

Solution

simplify

ln^{2} (\frac{1}{4})

Solution

- 4 ln^{2} (2)

+1

Decimal Notation

- 1.92181 \dots

Solution steps

ln^{2} (\frac{1}{4})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln^{2} (\frac{1}{4}) = ln^{2} (1) - ln^{2} (4)

= ln^{2} (1) - ln^{2} (4)

ln^{2} (1) = 0

= 0 - ln^{2} (4)

0 - ln^{2} (4) = - ln^{2} (4)

= - ln^{2} (4)

Simplify

ln (4) : 2 ln (2)

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

2^{2} = 4

= - 4 ln^{2} (2)

Popular Examples

simplify ln(((x-3)^4sqrt(x))/(x+1))simplify

ln (\frac{( x - 3 ) ^{4} x}{x + 1})

simplify 2log_{10}(x)-log_{10}(3)simplify

2 lo g_{10} (x) - lo g_{10} (3)

expand ln((2x^4)/(y^7))expand

ln (\frac{2 x ^{4}}{y ^{7}})

simplify 1/2 ln|2x+1|+2ln|x-1|+C simplify

\frac{1}{2} ln ∣ 2 x + 1 ∣ + 2 ln ∣ x - 1 ∣ + C

join pi/2 ln(3)join

\frac{π}{2} ln (3)

Frequently Asked Questions (FAQ)

What is ln^2(1/4) ?
The solution to ln^2(1/4) is -4ln^2(2)