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Popular >

3e^x-5=-2e^{-x}

Solution

3 e^{x} - 5 = - 2 e^{- x}

Solution

x = 0, x = ln (\frac{2}{3})

+1

Decimal Notation

x = 0, x = - 0.40546 \dots

Solution steps

3 e^{x} - 5 = - 2 e^{- x}

Apply exponent rules

3 e^{x} - 5 = - 2 (e^{x})^{- 1}

Rewrite the equation with

e^{x} = u

3 u - 5 = - 2 (u)^{- 1}

Solve

3 u - 5 = - 2 u^{- 1} : u = 1, u = \frac{2}{3}

u = 1, u = \frac{2}{3}

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 : x = 0

Solve

e^{x} = \frac{2}{3} : x = ln (\frac{2}{3})

x = 0, x = ln (\frac{2}{3})

Popular Examples

2^{x^{2}} = \frac{1}{2}

3^{2x}= 1/(9^{x+2)}

3^{2 x} = \frac{1}{9 ^{x + 2}}

e^{(x+1)(x-1)}=1

e^{(x + 1) (x - 1)} = 1

solvefor x,a^3e^{3x}+2e^{-2y}=C solve for

x, a^{3} e^{3 x} + 2 e^{- 2 y} = C

3^{x} = - 5

Frequently Asked Questions (FAQ)

What is the answer to 3e^x-5=-2e^{-x} ?
The answer to 3e^x-5=-2e^{-x} is x=0,x=ln(2/3)