### Home > INT3 > Chapter 5 > Lesson 5.2.4 > Problem5-91

5-91.

Is it true that $\log_3(2)=\log_2(3)$? Justify your answer.

Rewrite this as a system of equations:

$\log_3(2)=a$

$\log_2(3)=b$

Now rewrite each equation in exponential form and compare them.

Which value, $a\ \text{or}\ b$, is greater than one? Which is less than one? How can you tell?