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Popular >

3=2+5e^{-4x}

Solution

3 = 2 + 5 e^{- 4 x}

Solution

x = \frac{ln ( 5 )}{4}

+1

Decimal

x = 0.40235 \dots

Solution steps

3 = 2 + 5 e^{- 4 x}

Switch sides

2 + 5 e^{- 4 x} = 3

Move

2

to the right side

5 e^{- 4 x} = 1

Divide both sides by

5

e^{- 4 x} = \frac{1}{5}

Apply exponent rules

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

Solve

- 4 x = ln (\frac{1}{5}) : x = \frac{ln ( 5 )}{4}

x = \frac{ln ( 5 )}{4}

Graph

Popular Examples

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3^{l o g_{9} (5 x - 5)} = 5

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6^{x - 1} = 271

6^{1+x}= 1/(36^{4x+2)}

6^{1 + x} = \frac{1}{3 6 ^{4 x + 2}}

e^{x+pi}=pi^{x+e}

e^{x + π} = π^{x + e}

Frequently Asked Questions (FAQ)

What is the answer to 3=2+5e^{-4x} ?
The answer to 3=2+5e^{-4x} is x=(ln(5))/4