What is expand ln((x^2-1)/(x^5)) ?

The solution to expand ln((x^2-1)/(x^5)) is ln(x^2-1)-5ln(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln((x^2-1)/(x^5))

expand

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

ln (x^{2} - 1) - 5 ln (x)

Solution steps

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

Apply log rule:

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

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

= ln (x^{2} - 1) - ln (x^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (x^{2} - 1) - 5 ln (x)

lo g_{3} (x) + lo g_{3} (y) - lo g_{3} (z)

lo g_{a} (b) - lo g_{a} (c)

2 lo g_{\frac{5}{4}} (2)

lo g_{b} (x^{3}) + lo g_{b} (y)

2 lo g_{8} (x) + 4 lo g_{8} (y)

What is expand ln((x^2-1)/(x^5)) ?
The solution to expand ln((x^2-1)/(x^5)) is ln(x^2-1)-5ln(x)