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Popular >

128^{x+3}<(1/1024)^{2x}

Solution

12 8^{x + 3} < (\frac{1}{1024})^{2 x}

Solution

x < - \frac{7}{9}

+2

Interval Notation

(- \infty, - \frac{7}{9})

Decimal Notation

x < - 0.77777 \dots

Solution steps

12 8^{x + 3} < (\frac{1}{1024})^{2 x}

If

f (x) < g (x)

then

ln (f (x)) < ln (g (x))

ln (12 8^{x + 3}) < ln ((\frac{1}{1024})^{2 x})

Simplify

ln (12 8^{x + 3}) : 7 ln (2) (x + 3)

Simplify

ln ((\frac{1}{1024})^{2 x}) : - 10 ln (2) \cdot 2 x

7 ln (2) (x + 3) < - 10 ln (2) \cdot 2 x

7 ln (2) (x + 3) < - 10 ln (2) \cdot 2 x : x < - \frac{7}{9}

x < - \frac{7}{9}

Popular Examples

simplify (sqrt(4))^3 simplify

(4)^{3}

4 ∣ x - 3 ∣ + 6 \leq 58

simplify 16(8)simplify

16 (8)

v + 4 \leq 5

(x+4)/3-(x-4)/5 =2+(3x-1)/(15)

\frac{x + 4}{3} - \frac{x - 4}{5} = 2 + \frac{3 x - 1}{15}

Frequently Asked Questions (FAQ)

What is 128^{x+3}<(1/1024)^{2x} ?
The solution to 128^{x+3}<(1/1024)^{2x} is x<-7/9