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Popular >

3e^p-5=5-3e^{-p}

Solution

3 e^{p} - 5 = 5 - 3 e^{- p}

Solution

p = ln (3), p = - ln (3)

+1

Decimal Notation

p = 1.09861 \dots, p = - 1.09861 \dots

Solution steps

3 e^{p} - 5 = 5 - 3 e^{- p}

Apply exponent rules

3 e^{p} - 5 = 5 - 3 (e^{p})^{- 1}

Rewrite the equation with

e^{p} = u

3 u - 5 = 5 - 3 (u)^{- 1}

Solve

3 u - 5 = 5 - 3 u^{- 1} : u = 3, u = \frac{1}{3}

u = 3, u = \frac{1}{3}

Substitute back

u = e^{p},

solve for

p

Solve

e^{p} = 3 : p = ln (3)

Solve

e^{p} = \frac{1}{3} : p = - ln (3)

p = ln (3), p = - ln (3)

Popular Examples

4^{x} = 6^{x - 2}

2^{1 - x} + 4 = 9

(6^{3})^{x} = 6^{12}

e^{(-0.25)x}=0.98

e^{(- 0.25) x} = 0.98

e^{2ln(3)}=3^{1-2x}

e^{2 l n (3)} = 3^{1 - 2 x}

Frequently Asked Questions (FAQ)

What is the answer to 3e^p-5=5-3e^{-p} ?
The answer to 3e^p-5=5-3e^{-p} is p=ln(3),p=-ln(3)