We read your photo as:

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

April 18, 2026Mathematics

ScanSolve AI Answer

Answer

x = \frac{1}{2}

5 steps

Combine the like terms on the left side of the equation.
$4^x + 4^x = 4$ $2 \cdot 4^x = 4$
Divide both sides by 2.
$\frac{2 \cdot 4^x}{2} = \frac{4}{2}$ $4^x = 2$
Express both sides of the equation with the same base.
Since $4 = 2^2$ , we can rewrite $4^x$ as $(2^2)^x$ .
$(2^2)^x = 2^1$ $2^{2x} = 2^1$
Equate the exponents, as the bases are now the same.
$2x = 1$
Solve for $x$ .
$x = \frac{1}{2}$
The value of $x$ is $\frac{1}{2}$ .

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question