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Discipline: Math

Question topic: Equations and Inequalities: Exponential and Logarithm

Source: Originais Teachy

Level of difficulty: Medium

(Originais Teachy 2023) - Question Medium of Math

Lucas is a player who uses an online platform that has a scoring system based on logarithm. In a game, Lucas needs to increase his score to at least 400 points. If Lucas' score is calculated by the function P(x) = 100 log₂(x), where x is the number of well-executed actions in the game, determine how many well-executed actions Lucas needs to reach his goal. Solve the inequality 100 log₂(x) ≥ 400:
a.
x ≥ 16
b.
x ≥ 8
c.
x ≥ 4
d.
x ≥ 32
e.
x ≥ 64

Answer:

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