en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(2)-ln(5)

Solution

simplify

2 ln (2) - ln (5)

Solution

ln (\frac{4}{5})

+1

Decimal Notation

- 0.22314 \dots

Solution steps

2 ln (2) - ln (5)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{2} = 4

= ln (\frac{4}{5})

Popular Examples

simplify ln((0.6)/(0.4))simplify

ln (\frac{0.6}{0.4})

expand log_{2}((8x^4)/5)expand

lo g_{2} (\frac{8 x ^{4}}{5})

simplify 4ln(x)+2ln(y)-6ln(z)simplify

4 ln (x) + 2 ln (y) - 6 ln (z)

simplify (85)log_{1/2}(90/100)simplify

(85) lo g_{\frac{1}{2}} (\frac{90}{100})

expand log_{6}((\sqrt[3]{x})/(36y^4))expand

Frequently Asked Questions (FAQ)

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