What is simplify-ln((x+1)/x) ?

The solution to simplify-ln((x+1)/x) is -ln(x+1)+ln(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln((x+1)/x)

simplify

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

- ln (x + 1) + ln (x)

Solution steps

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

Apply log rule:

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

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

= - (ln (x + 1) - ln (x))

Distribute parentheses

= - (ln (x + 1)) - (- ln (x))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (x + 1) + ln (x)

- lo g_{10} (5.3 \cdot 1 0^{- 5})

- lo g_{10} (3.4 \cdot 1 0^{- 11})

ln (9.5 \cdot 1 0^{- 6})

ln (\frac{e ^{x}}{6 + e ^{x}})

- 3 ln (v - 1) - ln (x)

What is simplify-ln((x+1)/x) ?
The solution to simplify-ln((x+1)/x) is -ln(x+1)+ln(x)