What is the smallest positive integer q such that $5^{-q} < 0.005$ ?

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Official Explanation

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To find the smallest positive integer q such that

5^{-q} < 0.005

, we can rewrite 0.005 as

5^{-3}

. This means we need

5^{-q} < 5^{-3}

. Since the…

Comments

ManishMar 19, 2025

Thanks for sharingThank you for sharing!!thanks for sharing

StuthiApr 22, 2025

Can someone explain it other way?

willeMay 28, 2024

thankss

What this question tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.