What is simplify-ln((0.79)/(1.21*10^4)) ?

The solution to simplify-ln((0.79)/(1.21*10^4)) is -ln(0.79)+2ln(110)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln((0.79)/(1.21*10^4))

simplify

- ln (\frac{0.79}{1.21 \cdot 1 0 ^{4}})

- ln (0.79) + 2 ln (110)

Decimal Notation

9.63668 \dots

Solution steps

- ln (\frac{0.79}{1.21 \cdot 1 0 ^{4}})

Apply log rule:

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

ln (\frac{0.79}{1.21 \cdot 1 0 ^{4}}) = ln (0.79) - ln (1.21 \cdot 1 0^{4})

= - (ln (0.79) - ln (1 0^{4} \cdot 1.21))

ln (1.21 \cdot 1 0^{4}) = 2 ln (110)

= - (ln (0.79) - 2 ln (110))

Distribute parentheses

= - (ln (0.79)) - (- 2 ln (110))

Apply minus-plus rules

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

= - ln (0.79) + 2 ln (110)

ln ((- 1.1) (- 1.8))

lo g_{e} ((1 + θ) x^{θ})

3 ln (x^{4} e^{x^{3}})

3 ln (\frac{cos ( x ) + 1}{9 - x ^{2}})

What is simplify-ln((0.79)/(1.21*10^4)) ?
The solution to simplify-ln((0.79)/(1.21*10^4)) is -ln(0.79)+2ln(110)