en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(2)-ln(5)

Solution

simplify

3 ln (2) - ln (5)

Solution

ln (\frac{8}{5})

+1

Decimal

0.47000 \dots

Solution steps

3 ln (2) - ln (5)

Apply log rule:

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

3 ln (2) = ln (2^{3})

= ln (2^{3}) - ln (5)

Apply log rule:

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

ln (2^{3}) - ln (5) = ln (\frac{2 ^{3}}{5})

= ln (\frac{2 ^{3}}{5})

2^{3} = 8

= ln (\frac{8}{5})

Popular Examples

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

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

simplify 4log_{10}(x)+5log_{10}(y)simplify

4 lo g_{10} (x) + 5 lo g_{10} (y)

simplify ln((x+5)/(e^{4x)})simplify

ln (\frac{x + 5}{e ^{4 x}})

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

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

simplify log_{10}(7)-log_{10}(2)simplify

lo g_{10} (7) - lo g_{10} (2)

Frequently Asked Questions (FAQ)

What is 3ln(2)-ln(5) ?
The solution to 3ln(2)-ln(5) is ln(8/5)