en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x-ln(3x)

Solution

simplify

x - ln (3 x)

Solution

x - ln (3) - ln (x)

Solution steps

x - ln (3 x)

Apply log rule:

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

ln (3 x) = ln (3) + ln (x)

= x - (ln (x) + ln (3))

- (ln (3) + ln (x)) : - ln (3) - ln (x)

= x - ln (3) - ln (x)

Popular Examples

simplify 9/14 log_{2}(9/14)+5/14 log_{2}(5/14)simplify

\frac{9}{14} lo g_{2} (\frac{9}{14}) + \frac{5}{14} lo g_{2} (\frac{5}{14})

simplify-log_{10}(2.5*10^{-6})simplify

- lo g_{10} (2.5 \cdot 1 0^{- 6})

expand ln(8x^3(x+2)^5)expand

ln (8 x^{3} (x + 2)^{5})

simplify-log_{10}(2.5*10^{-5})simplify

- lo g_{10} (2.5 \cdot 1 0^{- 5})

simplify 6ln(5)-4ln(3)simplify

6 ln (5) - 4 ln (3)

Frequently Asked Questions (FAQ)

What is x-ln(3x) ?
The solution to x-ln(3x) is x-ln(3)-ln(x)