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Popular >

1-3e^{-3x}=0

Solution

1 - 3 e^{- 3 x} = 0

Solution

x = \frac{ln ( 3 )}{3}

+1

Decimal Notation

x = 0.36620 \dots

Solution steps

1 - 3 e^{- 3 x} = 0

Add

3 e^{- 3 x}

to both sides

1 - 3 e^{- 3 x} + 3 e^{- 3 x} = 0 + 3 e^{- 3 x}

Simplify

1 = 3 e^{- 3 x}

Switch sides

3 e^{- 3 x} = 1

Divide both sides by

3

e^{- 3 x} = \frac{1}{3}

Apply exponent rules

- 3 x = ln (\frac{1}{3})

Solve

- 3 x = ln (\frac{1}{3}) : x = \frac{ln ( 3 )}{3}

x = \frac{ln ( 3 )}{3}

Popular Examples

solvefor y,e^{5x-y}=3e^{3x}solve for

y, e^{5 x - y} = 3 e^{3 x}

4^x-3\times 2^x+2=0

4^{x} - 3 \times 2^{x} + 2 = 0

(0.5)^{2x}=2^{1-3x}

(0.5)^{2 x} = 2^{1 - 3 x}

3^{2x+1}+4(3^x)-15=0

3^{2 x + 1} + 4 (3^{x}) - 15 = 0

5^{x} = - 25

Frequently Asked Questions (FAQ)

What is the answer to 1-3e^{-3x}=0 ?
The answer to 1-3e^{-3x}=0 is x=(ln(3))/3