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Popular >

2ln(x)<-1

Solution

2 ln (x) < - 1

Solution

0 < x < \frac{1}{e}

+2

Interval Notation

(0, \frac{1}{e})

Decimal Notation

0 < x < 0.60653 \dots

Solution steps

2 ln (x) < - 1

Divide both sides by

2

\frac{2 ln ( x )}{2} < \frac{- 1}{2}

Simplify

ln (x) < - \frac{1}{2}

Apply log rules

x < \frac{1}{e} and x > 0

Merge Overlapping Intervals

0 < x < \frac{1}{e}

Popular Examples

factor 12x^2-8x-15 factor

12 x^{2} - 8 x - 15

sqrt(2d+1)+sqrt(d)<= 5

2 d + 1 + d \leq 5

- 10 x - 10 = - 6 x - 2

simplify 5*2/3 simplify

5 \cdot \frac{2}{3}

factor x^2+7x+10 factor

x^{2} + 7 x + 10

Frequently Asked Questions (FAQ)

What is 2ln(x)<-1 ?
The solution to 2ln(x)<-1 is 0<x< 1/(sqrt(e))