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Popular >

-e^{-1/2 x}+1=0.4

Solution

- e^{- \frac{1}{2} x} + 1 = 0.4

Solution

x = - 2 ln (0.6)

+1

Decimal Notation

x = 1.02165 \dots

Solution steps

- e^{- \frac{1}{2} x} + 1 = 0.4

Move

1

to the right side

- e^{- \frac{1}{2} x} = - 0.6

Divide both sides by

- 1

e^{- \frac{1}{2} x} = 0.6

Apply exponent rules

- \frac{1}{2} x = ln (0.6)

Solve

- \frac{1}{2} x = ln (0.6) : x = - 2 ln (0.6)

x = - 2 ln (0.6)

Popular Examples

(\frac{3}{5})^{x} = 2

7^{x + 6} = 3^{x}

4^{3 x + 5} = 9

7^{x - 1} = e^{x}

e^{7 n - 1} = 46

Frequently Asked Questions (FAQ)

What is the answer to -e^{-1/2 x}+1=0.4 ?
The answer to -e^{-1/2 x}+1=0.4 is x=-2ln(0.6)