Compare-it-a-log-3-4-b-log-5-6-c-log-6-2-

Question Number 208463 by hardmath last updated on 16/Jun/24

Compare it :

a = \log_{3} 4

b = \log_{5} 6

c = \log_{6} 2

Answered by Frix last updated on 16/Jun/24

3^{a} = 4 \Rightarrow a > 1 3^{a} = 3 + 1

\Rightarrow a > b

5^{b} = 6 \Rightarrow b > 1 5^{b} = 5 + 1

6^{c} = 2 \Rightarrow c < 1

\Rightarrow a > b > c

Commented by hardmath last updated on 16/Jun/24

thankyou dear professor