Math Problem Statement
Evaluate \( \log_3(27) \).
Solution
The exercise asks to evaluate the expression .
Solution:
To evaluate , we need to determine the power to which 3 must be raised to give 27.
We know that:
Therefore:
So, the value of is 3.
Would you like more details or have any further questions?
Here are 5 related questions you might find useful:
- How do you calculate ?
- What is the value of ?
- How do you solve logarithmic equations such as ?
- What is the relationship between logarithms and exponents?
- How can you convert a logarithmic expression to an exponential form?
Tip: Always remember that logarithms are the inverse of exponents. If , then .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Formulas
log_b(x) = y \Rightarrow b^y = x
Theorems
Inverse relationship between logarithms and exponents
Suitable Grade Level
Grades 9-10