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2^(x)=x^(2)
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$2^{x}=x^{2}$ $\newline$ Find solutions on the web

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Solve equations with variable exponents

Full solution

Q.

2^{x}=x^{2}

\newline

Find solutions on the web

Identify Solution: Identify the obvious solution when both sides of the equation are equal at $x=2$ . $2^{2} = 2^{2}$
Check Other Solutions: Check for other solutions by setting up the equation for $x \neq 2$ . $2^{x} = x^{2}$ , $x \neq 2$
Try $x=4$ : Try $x=4$ to see if it works. $2^{4} = 4^{2}$ $16 = 16$
Realize $x=4$ Not a Solution: Realize that $x=4$ is not a solution because it doesn't satisfy the original equation. $2^{4} \neq 4^{2}$ $16 \neq 16$ , which is incorrect.

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