What is simplify-ln(p^2S) ?

The solution to simplify-ln(p^2S) is -2ln(p)-ln(S)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln(p^2S)

simplify

- ln (p^{2} S)

- 2 ln (p) - ln (S)

Solution steps

- ln (p^{2} S)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (p^{2} S) = ln (p^{2}) + ln (S)

= - (ln (p^{2}) + ln (S))

Apply log rule:

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

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

= - (2 ln (p) + ln (S))

Distribute parentheses

= - (2 ln (p)) - (ln (S))

Apply minus-plus rules

+ (- a) = - a

= - 2 ln (p) - ln (S)

ln (- 6 \cdot \frac{e ^{1.74245}}{3})

ln (x^{2} 4 - x^{2})

10 (lo g_{10} (0.001) - lo g_{10} (x) + 12)

ln (\frac{140000}{( 140000 - 2100 x )})

2 ln ∣ x ∣ - ln ∣ x - 3 ∣