Math Problem Statement
Solution
The image contains a math problem involving the fraction and an expression written as "log5." This seems to refer to a logarithmic question.
The problem is asking for the value of the logarithm of 125 to the base 5. Mathematically, it is expressed as:
To solve this, we need to recognize that 125 can be written as a power of 5. Since , we have:
Using the logarithmic rule , the equation simplifies to:
Thus, .
Would you like further details on this process or any other questions related to logarithms? Here are some related topics you might find interesting:
- How to convert between logarithmic and exponential forms.
- The properties of logarithms (product, quotient, power rules).
- How to solve logarithmic equations.
- Why logarithms are used in real-world applications.
- Exploring logarithms to different bases (e.g., base 10, natural logarithms).
Tip: When solving logarithmic problems, always try to express the number in terms of powers of the base to simplify the process!
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponentiation
Formulas
log_b(a) = x, if a = b^x
Theorems
Logarithmic identity: log_b(b^x) = x
Suitable Grade Level
Grades 7-9