What is simplify-3ln((3e^{2x})/(2*7)) ?

The solution to simplify-3ln((3e^{2x})/(2*7)) is -3(ln(3e^{2x})-ln(14))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-3ln((3e^{2x})/(2*7))

simplify

- 3 ln (\frac{3 e ^{2 x}}{2 \cdot 7})

- 3 (ln (3 e^{2 x}) - ln (14))

Solution steps

- 3 ln (\frac{3 e ^{2 x}}{2 \cdot 7})

Apply log rule:

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

ln (\frac{3 e ^{2 x}}{2 \cdot 7}) = ln (3 e^{2 x}) - ln (2 \cdot 7)

= - 3 (ln (3 e^{2 x}) - ln (2 \cdot 7))

Multiply the numbers:

2 \cdot 7 = 14

= - 3 (ln (3 e^{2 x}) - ln (14))

7.5 \cdot ln (\frac{1180}{693})

ln (sec (2) + tan (2)) - ln (cos (2)) + c

3 ln (x) + 5 ln (3) - ln (8)

2 lo g_{b} (z) - \frac{1}{4} lo g_{b} (x) + 3 lo g_{b} (y)

lo g_{b} (\frac{x ^{2} y}{2 ^{3}})

What is simplify-3ln((3e^{2x})/(2*7)) ?
The solution to simplify-3ln((3e^{2x})/(2*7)) is -3(ln(3e^{2x})-ln(14))