Solution: Rewrite the logarithmic equation in exponential form: $ x + 3 = 2^4 $. Simplify $ 2^4 = 16 $, so $ x = 16 - 3 = 13 $.
["Rewrite Logarithmic Equation in Exponential Form: A Simple Step-by-Step Solution", "Understanding how to convert logarithmic expressions into exponential form is a fundamental skill in algebra that enhances your ability to solve equations efficiently. In this article, we’ll walk through a clear and effective method using the equation:", "$$\nx + 3 = 2^4\n$$", "### Step 1: Understand the Logarithmic and Exponential Relationship", "Although this equation involves an exponential rather than a logarithm, rewriting exponential equations in standard form is essential for solving unknown exponents or simplifying expressions. Remember:\nAn equation of the form\n$$\na^b = c\n$$\nis equivalent to the exponential form\n$$\nx = a^b\n$$\neven when $ x $ itself is unknown.", "### Step 2: Simplify the Exponential Expression", "Start with the right-hand side:\n$$\n2^4 = 16\n$$\nSo the original equation becomes:\n$$\nx + 3 = 16\n$$", "### Step 3: Solve for $ x $", "Subtract 3 from both sides:\n$$\nx = 16 - 3 = 13\n$$", "Thus, the solution is $ x = 13 $. Rewriting the original exponential equation in simplified exponential form gives:\n$$\n2^4 = 16 \quad \Rightarrow \quad x + 3 = 16\n$$\nwhich confirms our solution.", "### Final Thoughts", "Rewriting exponential equations into clear, simplified form helps solidify your understanding of exponential relationships and supports accurate problem-solving. Always treat exponential equations like standard equations—base, exponent, and the unknown variable—even when solving for values.", "### Summary", "- Original equation: $ x + 3 = 2^4 $\n- Simplify: $ x + 3 = 16 $\n- Rewrite exponential form: $ 2^4 = 16 $\n- Solve: $ x = 13 $", "Mastering this conversion boosts your algebraic proficiency and prepares you for more advanced mathematical reasoning."]
