What is the smallest integer n such that 13^n < 0.005 ?

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PS · Problem Solving

555-605

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What is the smallest integer n such that $\frac{1}{3^n} < 0.005$ ?

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A

3

5

Correct

C

8

D

9

E

10

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Official Explanation

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We need to find the smallest integer n such that

\frac{1}{3^n} < 0.005

or equivalently,

\frac{1}{3^n} < \frac{1}{200}

. Since the denominators are positive on both…

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유

유진Mar 20, 2025

thanks a lot

S

SwaminathaMar 22, 2024

Good question

What is the smallest integer n such that $\frac{1}{3^n} < 0.005$ ?

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What is the smallest integer n such that 13n<0.005\frac{1}{3^n} < 0.0053n1​<0.005 ?

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What is the smallest integer n such that $\frac{1}{3^n} < 0.005$ ?