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What is the solution to the equation 2^x = 16?
What is the solution to the equation 2^x = 16?
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What is the solution to the equation 2^x = 16?
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2^x = 2^4, so x = 4.
Questions & Step-by-step Solutions
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Q: What is the solution to the equation 2^x = 16?
Solution:
2^x = 2^4, so x = 4.
Steps: 6
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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 raised to a power: 16 = 2^4.
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.
Step 6: Therefore, the solution to the equation is x = 4.
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