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Popular >

-e^{-x}+6e^{-6x}=0

Solution

- e^{- x} + 6 e^{- 6 x} = 0

Solution

x = \frac{ln ( 6 )}{5}

+1

Decimal Notation

x = 0.35835 \dots

Solution steps

- e^{- x} + 6 e^{- 6 x} = 0

Add

e^{- x}

to both sides

- e^{- x} + 6 e^{- 6 x} + e^{- x} = 0 + e^{- x}

Simplify

6 e^{- 6 x} = e^{- x}

Apply exponent rules

ln (6) - 6 x = - x

Solve

ln (6) - 6 x = - x : x = \frac{ln ( 6 )}{5}

x = \frac{ln ( 6 )}{5}

Popular Examples

2^{3x}=16^{1-x}

2^{3 x} = 1 6^{1 - x}

5 \cdot 1 0^{2 x} = 1

4^{2x+7}=32^{2x-3}

4^{2 x + 7} = 3 2^{2 x - 3}

(5^{x})^{- 1} = 25

32 = 2^{x - 3}

Frequently Asked Questions (FAQ)

What is the answer to -e^{-x}+6e^{-6x}=0 ?
The answer to -e^{-x}+6e^{-6x}=0 is x=(ln(6))/5