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Popular >

25^{y-3}<= (1/125)^{y+2}

Solution

2 5^{y - 3} \leq (\frac{1}{125})^{y + 2}

Solution

y \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

2 5^{y - 3} \leq (\frac{1}{125})^{y + 2}

If

f (x) \leq g (x)

then

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

ln (2 5^{y - 3}) \leq ln ((\frac{1}{125})^{y + 2})

Simplify

ln (2 5^{y - 3}) : 2 ln (5) (y - 3)

Simplify

ln ((\frac{1}{125})^{y + 2}) : - 3 ln (5) (y + 2)

2 ln (5) (y - 3) \leq - 3 ln (5) (y + 2)

2 ln (5) (y - 3) \leq - 3 ln (5) (y + 2) : y \leq 0

y \leq 0

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Frequently Asked Questions (FAQ)

What is 25^{y-3}<= (1/125)^{y+2} ?
The solution to 25^{y-3}<= (1/125)^{y+2} is y<= 0