Math Problem Statement
solve log_ab/
Solution
To solve , this expression represents the logarithm of to the base . Specifically, it asks, "To what power must be raised to get ?"
The general formula for logarithms is:
Here, is the natural logarithm (logarithm with base ).
Example:
If is the question, we are looking for the power to which 2 must be raised to get 8:
\log_2 8 = 3 \quad \text{(since 2^3 = 8)}.
Would you like a specific example or a different logarithmic expression solved?
Here are 5 related questions:
- What is the value of ?
- How do you solve ?
- What is the result of ?
- How do you calculate ?
- Can you solve ?
Tip: Logarithmic properties are useful for simplifying expressions, such as the power rule: .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Algebra
Formulas
Logarithm formula: log_a b = ln(b) / ln(a)
Theorems
Change of Base Theorem
Suitable Grade Level
Grades 9-12