Math Problem Statement
what is the value of log(1,000)
Solution
The expression is typically assumed to be a common logarithm, which means it's using base 10. In other words, you're looking for the exponent to which must be raised to get .
We can express as a power of :
So:
Thus, .
Would you like more details on logarithms or have any questions?
Here are some related questions:
- What is the value of ?
- How do you express in exponential form?
- What is the value of ?
- Can you explain the difference between natural logarithms and common logarithms?
- How do you calculate logarithms for non-integer values?
- What is the value of ?
- How do you solve logarithmic equations with different bases?
- What is the significance of the logarithmic scale in real-world applications?
Tip: The common logarithm, denoted as , assumes a base of 10. This is widely used in scientific calculations and for working with large numbers.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponential Functions
Formulas
\(\log_b(a) = c\) implies \(b^c = a\)
Theorems
-
Suitable Grade Level
High School