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If 2^(x) = 16, what is the value of x?
Practice Questions
Q1
If 2^(x) = 16, what is the value of x?
2
3
4
5
Questions & Step-by-Step Solutions
If 2^(x) = 16, what is the value of x?
Correct Answer: 4
Steps
Concepts
Step 1: Understand the equation 2^(x) = 16.
Step 2: Recognize that 16 can be written as a power of 2.
Step 3: Write 16 as 2^(4) because 2 multiplied by itself 4 times equals 16.
Step 4: Now the equation looks like this: 2^(x) = 2^(4).
Step 5: Since the bases (2) are the same, we can set the exponents equal to each other: x = 4.
Exponential Equations
– Understanding how to solve equations where the variable is an exponent.
Base Conversion
– Recognizing that 16 can be expressed as a power of 2.
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