en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((e^6)/(10))

Solution

simplify

ln (\frac{e ^{6}}{10})

Solution

6 - ln (10)

+1

Decimal Notation

3.69741 \dots

Solution steps

ln (\frac{e ^{6}}{10})

Apply log rule:

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

ln (\frac{e ^{6}}{10}) = ln (e^{6}) - ln (10)

= ln (e^{6}) - ln (10)

Apply log rule:

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

ln (e^{6}) = 6 ln (e)

= 6 ln (e) - ln (10)

6 ln (e) = 6

= 6 - ln (10)

Popular Examples

simplify log_{3}(6)+2log_{3}(x)+1/2 log_{3}(9)simplify

lo g_{3} (6) + 2 lo g_{3} (x) + \frac{1}{2} lo g_{3} (9)

simplify log_{10}(x)+log_{10}(y)+log_{10}(2z)simplify

lo g_{10} (x) + lo g_{10} (y) + lo g_{10} (2 z)

simplify log_{10}((sqrt(x))/(100y^4))simplify

lo g_{10} (\frac{x}{100 y ^{4}})

simplify 5log_{b}(q)+2log_{b}(y)simplify

5 lo g_{b} (q) + 2 lo g_{b} (y)

simplify-0.35log_{2}(0.35)-0.65log_{2}(0.65)simplify

- 0.35 lo g_{2} (0.35) - 0.65 lo g_{2} (0.65)

Frequently Asked Questions (FAQ)

What is ln((e^6)/(10)) ?
The solution to ln((e^6)/(10)) is 6-ln(10)