Math Problem Statement
Use a calculator to find the common logarithm. log(14.3).
Solution
To solve the problem in the image, you need to calculate the common logarithm , which uses base 10.
Using a calculator:
The result rounded to four decimal places is:
Would you like a detailed explanation of logarithms or how to calculate this manually? Let me know if you have any additional questions!
Questions to expand on this:
- What are the properties of logarithms, and how are they applied in problems like this?
- How is the common logarithm different from the natural logarithm?
- Why is it important to round logarithmic values to a specific decimal place?
- How do calculators compute logarithms internally?
- What are some practical applications of common logarithms in science or engineering?
Tip:
When solving logarithmic problems, always double-check your calculator mode to ensure accuracy, especially when working with multiple bases.
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Math Problem Analysis
Mathematical Concepts
Common Logarithms
Base 10 Logarithms
Rounding Numbers
Formulas
log_b(x) = y, where b^y = x and b is the base (here, b = 10)
Theorems
Logarithmic Properties: Change of Base Formula, Exponent-Log Relationship
Suitable Grade Level
Grades 9-12