Sure! Here's a logarithm question that requires converting it into an exponential equation before solving for $x$:

Question:
Solve for $x$:
$\log_5 (x + 2) = 3$

Solution Steps:

1. Convert the logarithmic equation to an exponential form: $x + 2 = 5^3$

2. Simplify the exponent: $x + 2 = 125$

3. Solve for $x$: $x = 125 - 2$ $x = 123$

So, the final answer is $x = 123$.

Would you like a deeper explanation of logarithm-to-exponential conversion?

Related Questions:

1. Solve $\log_3 (x - 1) = 4$ by converting to an exponential equation.
2. Solve $\log_7 (2x + 5) = 2$.
3. Find $x$ in $\log_2 (x^2 + 3) = 5$.
4. Solve for $x$ in $\log_4 (x) + \log_4 (x - 3) = 2$.
5. What are the properties of logarithms that help simplify equations?

Tip:

When solving logarithmic equations, always check for extraneous solutions by substituting the final value back into the original equation. Logarithms are undefined for negative arguments.