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Popular >

(1/36)^{x+8}<= 216^{x-3}

Solution

(\frac{1}{36})^{x + 8} \leq 21 6^{x - 3}

Solution

x \geq - \frac{7}{5}

+2

Interval Notation

[- \frac{7}{5}, \infty)

Decimal Notation

x \geq - 1.4

Solution steps

(\frac{1}{36})^{x + 8} \leq 21 6^{x - 3}

If

f (x) \leq g (x)

then

ln (f (x)) \leq ln (g (x))

ln ((\frac{1}{36})^{x + 8}) \leq ln (21 6^{x - 3})

Simplify

ln ((\frac{1}{36})^{x + 8}) : - 2 ln (6) (x + 8)

Simplify

ln (21 6^{x - 3}) : 3 ln (6) (x - 3)

- 2 ln (6) (x + 8) \leq 3 ln (6) (x - 3)

- 2 ln (6) (x + 8) \leq 3 ln (6) (x - 3) : x \geq - \frac{7}{5}

x \geq - \frac{7}{5}

Popular Examples

simplify 8/3-4 simplify

\frac{8}{3} - 4

simplify 36-8 simplify

36 - 8

simplify (-45sqrt(156))/(9sqrt(3))simplify

\frac{- 45 156}{9 3}

3 x^{2} + 4 x \leq 15

f=A_{0}(0.022(5))

f = A_{0} (0.022 (5))

Frequently Asked Questions (FAQ)

What is (1/36)^{x+8}<= 216^{x-3} ?
The solution to (1/36)^{x+8}<= 216^{x-3} is x>=-7/5