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(3)+3

Solution

simplify

- 3 ln (2) + ln (3) + 3

Solution

ln (\frac{3}{8}) + 3

+1

Decimal Notation

2.01917 \dots

Solution steps

- 3 ln (2) + ln (3) + 3

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{3} = 8

= ln (\frac{3}{8}) + 3

Popular Examples

simplify ln((sqrt(c))/(ab))simplify

ln (\frac{c}{ab})

simplify 10*log_{10}(0.1*((0.125)/(4*pi*8))^2)simplify

10 \cdot lo g_{10} (0.1 \cdot (\frac{0.125}{4 \cdot π \cdot 8})^{2})

simplify ln(1/2)*ln(1/2)simplify

ln (\frac{1}{2}) \cdot ln (\frac{1}{2})

simplify ln((n!)/(x^{n+1)})simplify

ln (\frac{n !}{x ^{n + 1}})

simplify ln((x^2)/(sin^3(x)))simplify

ln (\frac{x ^{2}}{sin ^{3} ( x )})

Frequently Asked Questions (FAQ)

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