en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^{-2})

Solution

simplify

ln (x^{- 2})

Solution

- 2 ln (x)

Solution steps

ln (x^{- 2})

Apply log rule

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

assuming

x \geq 0

= - 2 ln (x)

Popular Examples

simplify (e^{-2}*2^1)/(1!)simplify

\frac{e ^{- 2} \cdot 2 ^{1}}{1 !}

simplify (7b^4)(-9b^2)simplify

(7 b^{4}) (- 9 b^{2})

expand (2+x^3)^9 expand

(2 + x^{3})^{9}

simplify (log_{10}(15))/(log_{10)(3)}simplify

\frac{lo g _{10} ( 15 )}{lo g _{10} ( 3 )}

simplify (\frac{15a-35)/(25)*(6a^2)/(3a-7)}{(a^2)/(35)}simplify

\frac{\frac{15 a - 35}{25} \cdot \frac{6 a ^{2}}{3 a - 7}}{\frac{a ^{2}}{35}}

Frequently Asked Questions (FAQ)

What is ln(x^{-2}) ?
The solution to ln(x^{-2}) is -2ln(x)