What is ln((5x^3-x)/(3x)) ?

The solution to ln((5x^3-x)/(3x)) is ln(5x^3-x)-ln(3)-ln(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((5x^3-x)/(3x))

simplify

ln (\frac{5 x ^{3} - x}{3 x})

ln (5 x^{3} - x) - ln (3) - ln (x)

Solution steps

ln (\frac{5 x ^{3} - x}{3 x})

Apply log rule:

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

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

= ln (5 x^{3} - 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)

= ln (5 x^{3} - x) - (ln (x) + ln (3))

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

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

ln (\frac{3.64}{23}) + \frac{2 ( 2 )}{23}

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

8 ln (x + 8) - 8 ln (x)

ln (\frac{273}{293}) \cdot 1.3

ln (1.7 \cdot 1 0^{9})

What is ln((5x^3-x)/(3x)) ?
The solution to ln((5x^3-x)/(3x)) is ln(5x^3-x)-ln(3)-ln(x)