Solve log base 2 of x equals 5. What is x?

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

Solve log base 2 of x equals 5. What is x?

Explanation:
Logarithms turn a number into the exponent that produces it. If log base 2 of x equals 5, that means 2 raised to the 5th power equals x. So x = 2^5 = 32. You can verify by checking that log base 2 of 32 is indeed 5. The other numbers correspond to different exponents (16 = 2^4, 8 = 2^3, 64 = 2^6), not 5.

Logarithms turn a number into the exponent that produces it. If log base 2 of x equals 5, that means 2 raised to the 5th power equals x. So x = 2^5 = 32. You can verify by checking that log base 2 of 32 is indeed 5. The other numbers correspond to different exponents (16 = 2^4, 8 = 2^3, 64 = 2^6), not 5.

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