en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((e^4)/(19))

Solution

simplify

ln (\frac{e ^{4}}{19})

Solution

4 - ln (19)

+1

Decimal Notation

1.05556 \dots

Solution steps

ln (\frac{e ^{4}}{19})

Apply log rule:

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

ln (\frac{e ^{4}}{19}) = ln (e^{4}) - ln (19)

= ln (e^{4}) - ln (19)

Apply log rule:

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

ln (e^{4}) = 4 ln (e)

= 4 ln (e) - ln (19)

4 ln (e) = 4

= 4 - ln (19)

Popular Examples

simplify ln(3xe)simplify

ln (3 x e)

simplify-1/2 ln|(9)+1|+1/2 ln|(9)-1|simplify

- \frac{1}{2} ln ∣ (9) + 1 ∣ + \frac{1}{2} ln ∣ (9) - 1 ∣

simplify ln(25/60)simplify

ln (\frac{25}{60})

simplify log_{0.9}(4x)simplify

lo g_{0.9} (4 x)

simplify log_{3}(x)-8log_{3}(x+8)simplify

lo g_{3} (x) - 8 lo g_{3} (x + 8)

Frequently Asked Questions (FAQ)

What is ln((e^4)/(19)) ?
The solution to ln((e^4)/(19)) is 4-ln(19)