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Popular >

e^x=7-12e^{-x}

Solution

e^{x} = 7 - 12 e^{- x}

Solution

x = 2 ln (2), x = ln (3)

+1

Decimal Notation

x = 1.38629 \dots, x = 1.09861 \dots

Solution steps

e^{x} = 7 - 12 e^{- x}

Apply exponent rules

e^{x} = 7 - 12 (e^{x})^{- 1}

Rewrite the equation with

e^{x} = u

u = 7 - 12 (u)^{- 1}

Solve

u = 7 - 12 u^{- 1} : u = 4, u = 3

u = 4, u = 3

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 4 : x = 2 ln (2)

Solve

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

x = 2 ln (2), x = ln (3)

Popular Examples

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

e^{0.4 x} = 0.4

solvefor x,e^{3x}-e^{2(3x)}=0 solve for

x, e^{3 x} - e^{2 (3 x)} = 0

200=100e^{r(0.06)}

200 = 100 e^{r (0.06)}

solvefor i,1= n/(2^i)solve for

i, 1 = \frac{n}{2 ^{i}}

Frequently Asked Questions (FAQ)

What is the answer to e^x=7-12e^{-x} ?
The answer to e^x=7-12e^{-x} is x=2ln(2),x=ln(3)