1. The problem is to evaluate $\log_3(4)$ using a calculator. 2. The logarithm $\log_b(a)$ means the power to which the base $b$ must be raised to get $a$. 3. Here, $\log_3(4)$ asks: "To what power must 3 be raised to get 4?" 4. Most calculators do not have a direct button for $\log_3$, but you can use the change of base formula: $$\log_3(4) = \frac{\log(4)}{\log(3)}$$ where $\log$ is the common logarithm (base 10) or natural logarithm (base $e$). 5. To calculate $\log_3(4)$: - Calculate $\log(4)$ using your calculator. - Calculate $\log(3)$ using your calculator. - Divide the two results. 6. For example, using common logarithms: $$\log_3(4) = \frac{\log(4)}{\log(3)} \approx \frac{0.60206}{0.47712} \approx 1.2619$$ 7. So, $\log_3(4) \approx 1.2619$. You do not put $\log_3(4)$ directly into the calculator; instead, use the change of base formula as shown.