en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln((e^2)/(13))

Solution

expand

ln (\frac{e ^{2}}{13})

Solution

2 - ln (13)

+1

Decimal Notation

- 0.56494 \dots

Solution steps

ln (\frac{e ^{2}}{13})

Apply log rule:

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

ln (\frac{e ^{2}}{13}) = ln (e^{2}) - ln (13)

= ln (e^{2}) - ln (13)

Apply log rule:

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

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

= 2 ln (e) - ln (13)

2 ln (e) = 2

= 2 - ln (13)

Popular Examples

simplify ln(x^8(x+7)^5(x^2+8)^2)simplify

ln (x^{8} (x + 7)^{5} (x^{2} + 8)^{2})

simplify ln(x)-4[ln(x-5)+ln(x+5)]simplify

ln (x) - 4 [ln (x - 5) + ln (x + 5)]

simplify-ln(6.5)+2ln(7.5)simplify

- ln (6.5) + 2 ln (7.5)

simplify ln(x/(98))simplify

ln (\frac{x}{98})

simplify log_{10}(5)+3log_{10}(x)simplify

lo g_{10} (5) + 3 lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is expand ln((e^2)/(13)) ?
The solution to expand ln((e^2)/(13)) is 2-ln(13)