Math Problem Statement
log 72 = ____
Solution
The expression in the image asks to calculate .
If this is a logarithm with base 10 (common logarithm), we can calculate it using a calculator:
So,
Would you like more details on how logarithms are calculated or any related concepts?
Here are 5 questions to deepen your understanding:
- What is the difference between natural logarithms and common logarithms?
- How does the change of base formula work for logarithms?
- What are the properties of logarithms, such as the product, quotient, and power rules?
- How can you use logarithms to solve exponential equations?
- How is the logarithmic scale used in real-life applications, like measuring sound or earthquakes?
Tip: When solving logarithmic problems, ensure you know the base of the logarithm (common or natural) to apply the correct method for solving!
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Formulas
log_b(x) = y if and only if b^y = x
Common logarithm log_10(x)
Theorems
Logarithm properties (product, quotient, power)
Change of base theorem
Suitable Grade Level
Grades 9-12