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If 10^(x) = 1000, what is the value of x? (2023)
If 10^(x) = 1000, what is the value of x? (2023)
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If 10^(x) = 1000, what is the value of x? (2023)
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Since 1000 can be expressed as 10^3, we have 10^x = 10^3, thus x = 3.
Questions & Step-by-step Solutions
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Q: If 10^(x) = 1000, what is the value of x? (2023)
Solution:
Since 1000 can be expressed as 10^3, we have 10^x = 10^3, thus x = 3.
Steps: 5
Show Steps
Step 1: Start with the equation 10^(x) = 1000.
Step 2: Recognize that 1000 can be rewritten as a power of 10. Specifically, 1000 = 10^3.
Step 3: Now, rewrite the equation using this new information: 10^(x) = 10^3.
Step 4: Since the bases (10) are the same on both sides of the equation, we can set the exponents equal to each other: x = 3.
Step 5: Therefore, the value of x is 3.
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