1. The problem is to evaluate the function $h(x) = 3x^x - 4$ at $x=3$. 2. The formula given is $h(x) = 3x^x - 4$. This means we first calculate $x^x$, then multiply by 3, and finally subtract 4. 3. Substitute $x=3$ into the function: $$h(3) = 3 \times 3^3 - 4$$ 4. Calculate $3^3$: $$3^3 = 3 \times 3 \times 3 = 27$$ 5. Multiply by 3: $$3 \times 27 = 81$$ 6. Subtract 4: $$81 - 4 = 77$$ 7. Therefore, the value of $h(3)$ is $77$.