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Popular >

-6=-7+5e^{-7x}

Solution

- 6 = - 7 + 5 e^{- 7 x}

Solution

x = \frac{ln ( 5 )}{7}

+1

Decimal Notation

x = 0.22991 \dots

Solution steps

- 6 = - 7 + 5 e^{- 7 x}

Switch sides

- 7 + 5 e^{- 7 x} = - 6

Move

7

to the right side

5 e^{- 7 x} = 1

Divide both sides by

5

e^{- 7 x} = \frac{1}{5}

Apply exponent rules

- 7 x = ln (\frac{1}{5})

Solve

- 7 x = ln (\frac{1}{5}) : x = \frac{ln ( 5 )}{7}

x = \frac{ln ( 5 )}{7}

Popular Examples

5(2^{2x})-15(2^{x+1})+40=0

5 (2^{2 x}) - 15 (2^{x + 1}) + 40 = 0

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

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

3^{x - 2} = 27

3^{x} = x^{3}

81^{5x-2}=27^{x+4}

8 1^{5 x - 2} = 2 7^{x + 4}

Frequently Asked Questions (FAQ)

What is the answer to -6=-7+5e^{-7x} ?
The answer to -6=-7+5e^{-7x} is x=(ln(5))/7