en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-2ln(5)+2ln(2)

Solution

simplify

- 2 ln (5) + 2 ln (2)

Solution

ln (\frac{4}{25})

+1

Decimal Notation

- 1.83258 \dots

Solution steps

- 2 ln (5) + 2 ln (2)

Apply log rule:

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

2 ln (5) = ln (5^{2})

= - ln (5^{2}) + 2 ln (2)

Apply log rule:

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

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

= - ln (5^{2}) + ln (2^{2})

Apply log rule:

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

ln (2^{2}) - ln (5^{2}) = ln (\frac{2 ^{2}}{5 ^{2}})

= ln (\frac{2 ^{2}}{5 ^{2}})

\frac{2 ^{2}}{5 ^{2}} = \frac{4}{25}

= ln (\frac{4}{25})

Popular Examples

simplify ln(3y^2)simplify

ln (3 y^{2})

simplify log_{10}(a)-2log_{10}(b)+3 simplify

lo g_{10} (a) - 2 lo g_{10} (b) + 3

simplify ln(16)+ln(7)-3ln(2)simplify

ln (16) + ln (7) - 3 ln (2)

simplify 6.1+log_{10}(B/C)simplify

6.1 + lo g_{10} (\frac{B}{C})

simplify log_{2}(((4pi^2))/(30))simplify

lo g_{2} (\frac{( 4 π ^{2} )}{30})

Frequently Asked Questions (FAQ)

What is simplify-2ln(5)+2ln(2) ?
The solution to simplify-2ln(5)+2ln(2) is ln(4/25)