Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Logarithms
Change of Base Formula
Logarithmic Simplification
Formulas
Change of Base Formula: \( \log_{a}b = \frac{\log b}{\log a} \)
Logarithmic Simplification: \( \frac{\log_{a}b}{\log_{ac}b} = 1 + \log_{a}c \)
Logarithmic Simplification: \( \frac{\log_{a}d}{\log_{c}d} = \log_{a}c \)
Theorems
Change of Base Theorem
Suitable Grade Level
Grades 10-12
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