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Popular >

4e^{2x}+e^{-x}=0

Solution

4 e^{2 x} + e^{- x} = 0

Solution

x = \frac{Undefined}{2}

Solution steps

4 e^{2 x} + e^{- x} = 0

Subtract

e^{- x}

from both sides

4 e^{2 x} + e^{- x} - e^{- x} = 0 - e^{- x}

Simplify

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

Apply exponent rules

ln (4) + 2 x = ln (- 1) - x

Solve

ln (4) + 2 x = ln (- 1) - x : x = \frac{Undefined}{2}

x = \frac{Undefined}{2}

Popular Examples

solvefor y,x=4^y solve for

y, x = 4^{y}

2^x+8(2^{-x})=9

2^{x} + 8 (2^{- x}) = 9

solvefor x,e^{xy}=1 solve for

x, e^{x y} = 1

16^x-5(4^{x+1})+64=0

1 6^{x} - 5 (4^{x + 1}) + 64 = 0

2^{3 x + 1} = 8

Frequently Asked Questions (FAQ)

What is the answer to 4e^{2x}+e^{-x}=0 ?
The answer to 4e^{2x}+e^{-x}=0 is x=(Undefined)/2