1. Let's solve an example logarithm problem: Find $x$ if $\log_2(x) = 3$. 2. The logarithm formula states that $\log_b(a) = c$ means $b^c = a$. 3. Here, $b=2$, $c=3$, and we want to find $x$ such that $\log_2(x) = 3$. 4. Using the formula, rewrite the logarithm equation as an exponential equation: $$x = 2^3$$ 5. Calculate the power: $$2^3 = 2 \times 2 \times 2 = 8$$ 6. Therefore, the solution is $x = 8$. This means that $\log_2(8) = 3$ because $2$ raised to the power of $3$ equals $8$.