logarithm

Algebra Level 3

The number l o g 20 3 log_{20}3 lies between :

1 3 \frac {1}{3} , 1 2 \frac {1}{2} 3 4 \frac {3}{4} , 4 5 \frac {4}{5} 1 4 \frac {1}{4} , 1 3 \frac {1}{3} 1 2 \frac {1}{2} , 3 4 \frac {3}{4}

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Divyansh Khatri by Divyansh Khatri , 22, India

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2 solutions

Pranjal Jain
Apr 7, 2015

log ⁡ 3 9 < log ⁡ 3 20 < log ⁡ 3 27 < log ⁡ 3 81 ⇒ 2 < log ⁡ 3 20 < 3 < 4 ⇒ 1 2 > log ⁡ 20 3 > 1 3 > 1 4 \log_3 9<\log_3 20<\log_3 27<\log_3 81\\\Rightarrow 2<\log_3 20<3<4\\\Rightarrow \dfrac{1}{2}>\log_{20} 3>\dfrac{1}{3}>\dfrac{1}{4}

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Good solution.

Sai Ram - 5 years, 9 months ago

Up voted. !!!!

Sai Ram - 5 years, 9 months ago
Divyansh Khatri
Apr 7, 2015

I have a different way of doing this question. But your method is much shorter.Thanks for posting the solution.

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