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Popular >

e^x+24e^{-x}=10

Solution

e^{x} + 24 e^{- x} = 10

Solution

x = ln (6), x = 2 ln (2)

+1

Decimal Notation

x = 1.79175 \dots, x = 1.38629 \dots

Solution steps

e^{x} + 24 e^{- x} = 10

Apply exponent rules

e^{x} + 24 (e^{x})^{- 1} = 10

Rewrite the equation with

e^{x} = u

u + 24 (u)^{- 1} = 10

Solve

u + 24 u^{- 1} = 10 : u = 6, u = 4

u = 6, u = 4

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 6 : x = ln (6)

Solve

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

x = ln (6), x = 2 ln (2)

Popular Examples

4^{-x+1}=2^{2x}

4^{- x + 1} = 2^{2 x}

9^{x} = 3^{x + 2}

solvefor z,45=e^{2x+2y+z}solve for

z, 45 = e^{2 x + 2 y + z}

8 + 3 e^{4 - 9 z} = 1

2^{x} + 4 \cdot 2^{- x} = 5

Frequently Asked Questions (FAQ)

What is the answer to e^x+24e^{-x}=10 ?
The answer to e^x+24e^{-x}=10 is x=ln(6),x=2ln(2)