en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((e^7)/5)

Solution

simplify

ln (\frac{e ^{7}}{5})

Solution

7 - ln (5)

+1

Decimal Notation

5.39056 \dots

Solution steps

ln (\frac{e ^{7}}{5})

Apply log rule:

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

ln (\frac{e ^{7}}{5}) = ln (e^{7}) - ln (5)

= ln (e^{7}) - ln (5)

Apply log rule:

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

ln (e^{7}) = 7 ln (e)

= 7 ln (e) - ln (5)

7 ln (e) = 7

= 7 - ln (5)

Popular Examples

simplify log_{w}((13x)/2)simplify

lo g_{w} (\frac{13 x}{2})

simplify ln((3a^3a^2)/(sqrt(a)))simplify

ln (\frac{3 a ^{3} a ^{2}}{a})

simplify log_{10}((sqrt(x))/(100y^6))simplify

lo g_{10} (\frac{x}{100 y ^{6}})

simplify log_{10}(x^{1/2})+log_{10}((x+1)^3)simplify

lo g_{10} (x^{\frac{1}{2}}) + lo g_{10} ((x + 1)^{3})

simplify log_{2}(12)+log_{2}(3)-2log_{2}(2)simplify

lo g_{2} (12) + lo g_{2} (3) - 2 lo g_{2} (2)

Frequently Asked Questions (FAQ)

What is ln((e^7)/5) ?
The solution to ln((e^7)/5) is 7-ln(5)