en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln^2(2e)-ln(2))/2

Solution

simplify

\frac{ln ^{2} ( 2 e ) - ln ( 2 )}{2}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

\frac{ln ^{2} ( 2 e ) - ln ( 2 )}{2}

Apply log rule:

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

ln^{2} (2 e) - ln (2) = ln^{2} (\frac{2 e}{2})

= \frac{ln ^{2} ( \frac{2 e}{2} )}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{ln ^{2} ( e )}{2}

ln^{2} (e) = 1

= \frac{1}{2}

Popular Examples

simplify-log_{10}(4.1*10^{-9})simplify

- lo g_{10} (4.1 \cdot 1 0^{- 9})

simplify 1ln(x)-5/2 ln(y)simplify

1 ln (x) - \frac{5}{2} ln (y)

simplify 6.1+log_{10}((28)/(2.3))simplify

6.1 + lo g_{10} (\frac{28}{2.3})

simplify ln(488/4798)simplify

ln (\frac{488}{4798})

simplify ln(25500/15000)simplify

ln (\frac{25500}{15000})

Frequently Asked Questions (FAQ)

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