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I need help solving this 125^2x ≥25^4x+1

User MakotoE
by
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1 Answer

2 votes

Answer: x ≤ -1

Explanation:

1. Find the common base.

125 and 25 can be simplified to 5³ and 5²

2. When the bases are equal, you ignore them and solve for x with the exponents. Make sure you multiply the new exponents with the old ones before solving.

3(2x) ≥ 2(4x+1)

6x ≥ 8x + 2

-2x ≥ 2

x ≤ -1 (flip greater than sign when dividing by negative number)

User Amitku
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