1. **Problem:** Solve for $x$ in the equation $\log_2(x + 3) = 5$. 2. **Formula and rules:** Recall that $\log_b(a) = c$ means $b^c = a$. Here, $b=2$, $a = x+3$, and $c=5$. 3. **Step-by-step solution:** - From the equation, rewrite in exponential form: $$x + 3 = 2^5$$ - Calculate $2^5$: $$2^5 = 32$$ - So, $$x + 3 = 32$$ - Solve for $x$: $$x = 32 - 3 = 29$$ 4. **Answer:** $x = 29$. This means the value of $x$ that satisfies the logarithmic equation is 29.