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)/(13))

Solution

simplify

ln (\frac{e ^{7}}{13})

Solution

7 - ln (13)

+1

Decimal Notation

4.43505 \dots

Solution steps

ln (\frac{e ^{7}}{13})

Apply log rule:

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

ln (\frac{e ^{7}}{13}) = ln (e^{7}) - ln (13)

= ln (e^{7}) - ln (13)

Apply log rule:

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

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

= 7 ln (e) - ln (13)

7 ln (e) = 7

= 7 - ln (13)

Popular Examples

simplify 3727.8ln(((23180+56088))/(23180))simplify

3727.8 ln (\frac{( 23180 + 56088 )}{23180})

simplify 360log_{10}(3)-720log_{10}(5)simplify

360 lo g_{10} (3) - 720 lo g_{10} (5)

simplify (2ln(3)-ln(2))/(2ln(3)-3ln(2))simplify

\frac{2 ln ( 3 ) - ln ( 2 )}{2 ln ( 3 ) - 3 ln ( 2 )}

simplify 0.026ln((0.702)/(8*10^{-16)})simplify

0.026 ln (\frac{0.702}{8 \cdot 1 0 ^{- 16}})

expand log_{3}((6x^5)/(7w^2y^3))expand

lo g_{3} (\frac{6 x ^{5}}{7 w ^{2} y ^{3}})

Frequently Asked Questions (FAQ)

What is ln((e^7)/(13)) ?
The solution to ln((e^7)/(13)) is 7-ln(13)