Solve 2^x = 32.

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Multiple Choice

Solve 2^x = 32.

Explanation:
This question relies on solving an exponential equation by matching bases. Since 32 is a power of 2 (2^5 = 32), you can rewrite the equation as 2^x = 2^5. When the bases are the same and positive, the exponents must be equal, so x equals 5. You can check by substitution: 2^5 = 32, which confirms the solution. Another way is x = log base 2 of 32, which also gives 5. If you test other values, like x = 4 (2^4 = 16), x = 6 (2^6 = 64), or x = -5 (2^-5 = 1/32), they don’t produce 32, so they aren’t correct.

This question relies on solving an exponential equation by matching bases. Since 32 is a power of 2 (2^5 = 32), you can rewrite the equation as 2^x = 2^5. When the bases are the same and positive, the exponents must be equal, so x equals 5. You can check by substitution: 2^5 = 32, which confirms the solution. Another way is x = log base 2 of 32, which also gives 5. If you test other values, like x = 4 (2^4 = 16), x = 6 (2^6 = 64), or x = -5 (2^-5 = 1/32), they don’t produce 32, so they aren’t correct.

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