What is the answer to -c+1+cln(c)=1 ?

The answer to -c+1+cln(c)=1 is c=e

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-c+1+cln(c)=1

Solution

- c + 1 + c ln (c) = 1

Solution

c = e

Decimal Notation

c = 2.71828 \dots

Solution steps

- c + 1 + c ln (c) = 1

Subtract

1

from both sides

- c + 1 + c ln (c) - 1 = 1 - 1

Simplify

- c + c ln (c) = 0

Move

c

to the right side

c ln (c) = c

Move

c

to the left side

c ln (c) - c = 0

Factor

c ln (c) - c : c (ln (c) - 1)

c (ln (c) - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

c = 0 or ln (c) - 1 = 0

Solve

ln (c) - 1 = 0 : c = e

Verify Solutions:

c = 0

False

, c = e

True

The solution is

c = e

Popular Examples

log_{2}(x+1)-log_{2}(x-1)=3

lo g_{2} (x + 1) - lo g_{2} (x - 1) = 3

log_{6}(5x+1)=2log_{6}(3x)

lo g_{6} (5 x + 1) = 2 lo g_{6} (3 x)

1-2ln(x)=0

1 - 2 ln (x) = 0

ln(3x-19)=2

ln (3 x - 19) = 2

solvefor x,log_{b}(x+y)=3 solve for

x, lo g_{b} (x + y) = 3

Frequently Asked Questions (FAQ)

What is the answer to -c+1+cln(c)=1 ?
The answer to -c+1+cln(c)=1 is c=e
Solve for c: -c+1+cln(c)=1
The solution is c=e

-c+1+cln(c)=1

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to -c+1+cln(c)=1 ?

Solve for c: -c+1+cln(c)=1