Question

Match the three graphs to the function they represent ?

Answer 1

Suppose that a>b>1, then

$a^x>b^x$ and $\log_ax$

Therefore, since 2<3<7, $\log_2x>\log_3x>\log_7x.$

Choose an arbitrary x>1. You have that a takes the greatest values at x, c takes the smallest value at x. Thus,

a>b>c and

• $a=\log_2x;$
• $b=\log_3x;$
• $c=\log_7x.$

Answer: correct option is B.