Math Problem Statement
log4/log2
Solution
The expression can be simplified using the properties of logarithms, specifically the change of base formula:
Now, asks the question: "To what power must 2 be raised to get 4?" Since , we have:
Therefore:
Would you like more details or have any questions?
Here are some related questions:
- What is the value of ?
- How can you simplify ?
- What is the general form of the change of base formula for logarithms?
- How do you simplify ?
- What is the result of ?
Tip: Remember that for any positive base .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Change of Base Formula
Formulas
Change of base formula: \(\log_a b = \frac{\log_c b}{\log_c a}\)
Theorems
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Suitable Grade Level
Advanced High School