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Popular >

3e^{x^2}-1>73

Solution

3 e^{x^{2}} - 1 > 73

Solution

x < - ln (\frac{74}{3}) or x > ln (\frac{74}{3})

+2

Interval Notation

(- \infty, - ln (\frac{74}{3})) \cup (ln (\frac{74}{3}), \infty)

Decimal Notation

x < - 1.79037 \dots or x > 1.79037 \dots

Solution steps

3 e^{x^{2}} - 1 > 73

Move

1

to the right side

3 e^{x^{2}} > 74

Divide both sides by

3

e^{x^{2}} > \frac{74}{3}

Apply exponent rules

x^{2} > ln (\frac{74}{3})

x^{2} > ln (\frac{74}{3}) : x < - ln (\frac{74}{3}) or x > ln (\frac{74}{3})

x < - ln (\frac{74}{3}) or x > ln (\frac{74}{3})

Popular Examples

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3 m + (m + 5)

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\frac{7}{6} - \frac{1}{6}

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12 x^{2} - 4 x - 5

(x - 2) (x + 2) < 5

factor x^3-x^2-11x+11 factor

x^{3} - x^{2} - 11 x + 11

Frequently Asked Questions (FAQ)

What is 3e^{x^2}-1>73 ?
The solution to 3e^{x^2}-1>73 is x<-sqrt(ln(74/3))\lor x>sqrt(ln(74/3))