What is x(ln^2(x)-2ln(x)) ?

The solution to x(ln^2(x)-2ln(x)) is xln^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x(ln^2(x)-2ln(x))

simplify

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

x ln^{2} (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= x ln^{2} (\frac{x}{x ^{2}})

Cancel the common factor:

x

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

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

= x ln^{2} (x)

ln (4 a^{4}) + ln (2 a^{5})

ln (tan (θ)) - ln (\frac{tan ( θ )}{5})

5 (lo g_{10} (x y) + lo g_{10} (z))

ln (\frac{x}{9})

ln (\frac{m}{t})