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Popular >

2-e^x=10e^{-x}-5

Solution

2 - e^{x} = 10 e^{- x} - 5

Solution

x = ln (2), x = ln (5)

+1

Decimal Notation

x = 0.69314 \dots, x = 1.60943 \dots

Solution steps

2 - e^{x} = 10 e^{- x} - 5

Apply exponent rules

2 - e^{x} = 10 (e^{x})^{- 1} - 5

Rewrite the equation with

e^{x} = u

2 - u = 10 (u)^{- 1} - 5

Solve

2 - u = 10 u^{- 1} - 5 : u = 2, u = 5

u = 2, u = 5

Substitute back

u = e^{x},

solve for

x

Solve

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

Solve

e^{x} = 5 : x = ln (5)

x = ln (2), x = ln (5)

Popular Examples

3^{3x-2}=\sqrt[3]{9}

2^{x+5}=sqrt(8^x)

2^{x + 5} = 8^{x}

4 9^{p} = 1

solvefor y,z=x^y solve for

y, z = x^{y}

3 \cdot 2 7^{x - 2} = 9^{x}

Frequently Asked Questions (FAQ)

What is the answer to 2-e^x=10e^{-x}-5 ?
The answer to 2-e^x=10e^{-x}-5 is x=ln(2),x=ln(5)