x

$\cdots$

$\frac{1}{4}$ ( $\frac{1}{9}$ )

$\frac{1}{2}$ ( $\frac{1}{3}$ )

1 (1)

2 (3)

4 (9)

$\cdots$

$y_1={\log }_2{\log }_{2}x$

$\left(y_3={\log }_3{\log }_{3}x\right)$

$\cdots$

−2

−1

0

1

2

$y_2={\log }_{\frac{1}{2}}{\log }_{\frac{1}{2}}x$

$\left(y_4={\log }_{\frac{1}{3}}{\log }_{\frac{1}{3}}x\right)$

$\cdots$

2

1

0

−1

−2