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Popular >

2e^{-x}-1>0

Solution

2 e^{- x} - 1 > 0

Solution

x < ln (2)

+2

Interval Notation

(- \infty, ln (2))

Decimal Notation

x < 0.69314 \dots

Solution steps

2 e^{- x} - 1 > 0

Move

1

to the right side

2 e^{- x} > 1

Divide both sides by

2

e^{- x} > \frac{1}{2}

Apply exponent rules

- x > - ln (2)

Multiply both sides by

- 1

x < ln (2)

Popular Examples

4k+2(3k+8)<3k+10-8

4 k + 2 (3 k + 8) < 3 k + 10 - 8

factor a^2+6a+8 factor

a^{2} + 6 a + 8

4 ∣ 5 x ∣ + 3 = 27

-1/16 (32)^2+4(32)+5

- \frac{1}{16} (32)^{2} + 4 (32) + 5

(x - 2) (x - 8) = 0

Frequently Asked Questions (FAQ)

What is 2e^{-x}-1>0 ?
The solution to 2e^{-x}-1>0 is x<ln(2)