Recognize Problem: Recognize that the problem is asking to solve for x in the exponential equation 8 = 2^x.Recall Power of 2: Recall that 8 is a power of 2, specifically 2^3, since 2 * 2 * 2 = 8.Set Exponent Equal: Set the exponent of 2 that results in 8 equal to x, which means 2^3 = 2^x.Solve for x: Since the bases are the same (2), the exponents must be equal. Therefore, x = 3.

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$8 = 2^x$

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Math Problems

Grade 7

Multiply and divide integers

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8 = 2^x

Recognize Problem: Recognize that the problem is asking to solve for $x$ in the exponential equation $8 = 2^x$ .
Recall Power of $2$ : Recall that $8$ is a power of $2$ , specifically $2^3$ , since $2 \times 2 \times 2 = 8$ .
Set Exponent Equal: Set the exponent of $2$ that results in $8$ equal to $x$ , which means $2^3 = 2^x$ .
Solve for $x$ : Since the bases are the same ( $2$ ), the exponents must be equal. Therefore, $x = 3$ .