gaokao 2022 Q7

gaokao · China · national-II 5 marks Laws of Logarithms Compare or Order Logarithmic Values

Given $a = \log _ { 5 } 2 , b = \log _ { 8 } 3 , c = \frac { 1 } { 2 }$, which of the following judgments is correct?
A. $c < b < a$
B. $b < a < c$
C. $a < c < b$
D. $a < b < c$

C
$a = \log _ { 5 } 2 < \log _ { 5 } \sqrt { 5 } = \frac { 1 } { 2 } = \log _ { 8 } 2 \sqrt { 2 } < \log _ { 8 } 3 = b$, that is, $a < c < b$.

Given $a = \log _ { 5 } 2 , b = \log _ { 8 } 3 , c = \frac { 1 } { 2 }$, which of the following judgments is correct?

A. $c < b < a$

B. $b < a < c$

C. $a < c < b$

D. $a < b < c$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9