What is the answer to 25=c+e^{ln(5/c)} ?

The answer to 25=c+e^{ln(5/c)} is c=(25-11sqrt(5))/2 ,c=(25+11sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25=c+e^{ln(5/c)}

25 = c + e^{l n (\frac{5}{c})}

c = \frac{25 - 11 5}{2}, c = \frac{25 + 11 5}{2}

Decimal Notation

c = 0.20162 \dots, c = 24.79837 \dots

Solution steps

25 = c + e^{l n (\frac{5}{c})}

Switch sides

c + e^{l n (\frac{5}{c})} = 25

Move

c

to the right side

e^{l n (\frac{5}{c})} = 25 - c

Apply log rules

\frac{5}{c} = 25 - c

Solve

\frac{5}{c} = 25 - c : c = \frac{25 - 11 5}{2}, c = \frac{25 + 11 5}{2}

c = \frac{25 - 11 5}{2}, c = \frac{25 + 11 5}{2}

Verify Solutions:

c = \frac{25 - 11 5}{2}

True

, c = \frac{25 + 11 5}{2}

True

The solutions are

c = \frac{25 - 11 5}{2}, c = \frac{25 + 11 5}{2}

\frac{1}{2} ln (x) - ln (2) = 0

3 lo g_{6} (x) = lo g_{6} (8)

3 = lo g_{2} (6 x)

y, ln (y + 2 x) = 0

lo g_{x + 1} (2 x^{2} - 7 x + 19) = 2

What is the answer to 25=c+e^{ln(5/c)} ?
The answer to 25=c+e^{ln(5/c)} is c=(25-11sqrt(5))/2 ,c=(25+11sqrt(5))/2