Review question

# Which is the smallest of these surd, log and trig expressions? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5080

## Suggestion

Which is the smallest of the following numbers?

1. $\left(\sqrt{3}\right)^3$,

2. $\log_3 \left(9^2\right)$,

3. $\left( 3\sin{\dfrac{\pi}{3}}\right) ^2$,

4. $\log_2 \left(\log_2 \left(8^5\right)\right)$.

Can we evaluate any of the expressions exactly?

If so, how do the other expressions compare with the exact value(s)?