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If 2^(x) = 32, what is the value of x?
Practice Questions
Q1
If 2^(x) = 32, what is the value of x?
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5
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Questions & Step-by-Step Solutions
If 2^(x) = 32, what is the value of x?
Correct Answer: 5
Steps
Concepts
Step 1: Understand the equation 2^(x) = 32.
Step 2: Recognize that 32 can be expressed as a power of 2.
Step 3: Find the power of 2 that equals 32. This is 2^(5) because 2 * 2 * 2 * 2 * 2 = 32.
Step 4: Set the exponents equal to each other since the bases are the same: x = 5.
Step 5: Conclude that the value of x is 5.
Exponential Equations
– Understanding how to solve equations where the variable is an exponent.
Base Conversion
– Recognizing that 32 can be expressed as a power of 2.
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