en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4ln(4x)

Solution

simplify

4 ln (4 x)

Solution

8 ln (2) + 4 ln (x)

Solution steps

4 ln (4 x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

4 ln (4 x) = 4 ln (4) + 4 ln (x)

= 4 ln (4) + 4 ln (x)

4 ln (4) = 8 ln (2)

= 8 ln (2) + 4 ln (x)

Popular Examples

simplify ln(3/(sqrt(x^2+1)))simplify

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

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

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

domain of f(x)=2log_{7}(x+1)+log_{7}(3)domain

f (x) = 2 lo g_{7} (x + 1) + lo g_{7} (3)

simplify 1+ln(2^5)-5ln(5/2)simplify

1 + ln (2^{5}) - 5 ln (\frac{5}{2})

simplify ln(10000)-ln(8800)simplify

ln (10000) - ln (8800)

Frequently Asked Questions (FAQ)

What is 4ln(4x) ?
The solution to 4ln(4x) is 8ln(2)+4ln(x)