Solve for x: 4^x + 4^x = 4

April 18, 2026Mathematics

ScanSolve AI Answer

April 18, 2026

Answer

$x = \frac{1}{2}$

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Step 1: Combine the like terms on the left side of the equation. $4^x + 4^x = 4$ $2 \cdot 4^x = 4$

Step 2: Divide both sides by 2. $\frac{2 \cdot 4^x}{2} = \frac{4}{2}$ $4^x = 2$

Step 3: Express both sides of the equation with the same base. Since $4 = 2^2$ , we can rewrite $4^x$ as $(2^2)^x$ . $(2^2)^x = 2^1$ $2^{2x} = 2^1$

Step 4: Equate the exponents, as the bases are now the same. $2x = 1$

Step 5: Solve for $x$ . $x = \frac{1}{2}$

The value of $x$ is $\frac{1}{2}$ . $\boxed{x = \frac{1}{2}}$ Send me the next one 📸

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Quick Answer

Welcome back Sparta — missed you this week. Step 1: Combine the like terms on the left side of the equation.

Asked on April 18, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 18, 2026

Welcome back Sparta — missed you this week. Step 1: Combine the like terms on the left side of the equation. 4^x + 4^x = 4 2 · 4^x = 4 Step 2: Divide both sides by 2. (2 · 4^x)/(2) = (4)/(2) 4^x = 2 Step 3: Express both sides of the equation with the same base. Since 4 = 2^2, we can rewrite 4^x as (2^2)^x. (2^2)^x = 2^1 2^2x = 2^1 Step 4: Equate the exponents, as the bases are now the same. 2x = 1 Step 5: Solve for x. x = (1)/(2) The value of x is (1)/(2). x = (1)/(2) Send me the next one 📸