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Popular >

(2.2)2^{-n}<10^{-3}

Solution

(2.2) 2^{- n} < 1 0^{- 3}

Solution

n > lo g_{2} (2200)

+2

Interval Notation

(lo g_{2} (2200), \infty)

Decimal Notation

n > 11.10328 \dots

Solution steps

(2.2) \cdot 2^{- n} < 1 0^{- 3}

Divide both sides by

2.2

\frac{2.2 \cdot 2 ^{- n}}{2.2} < \frac{1 0 ^{- 3}}{2.2}

Simplify

2^{- n} < \frac{1}{2200}

Apply exponent rules

- n < - lo g_{2} (2200)

Multiply both sides by

- 1

n > lo g_{2} (2200)

Popular Examples

∣ z + 3 ∣ \leq 2

6 x - 9 = 3 x

simplify (3-2)/2 simplify

\frac{3 - 2}{2}

∣ x + 4 ∣ > 7

3 x^{2} - 12 x = 15

Frequently Asked Questions (FAQ)

What is (2.2)2^{-n}<10^{-3} ?
The solution to (2.2)2^{-n}<10^{-3} is n>log_{2}(2200)