Math Problem Statement
Rewrite the logarithmic expression as a single logarithm with the same base: log 2 - log 9
Solution
To rewrite the given expression as a single logarithm, we can apply the logarithmic subtraction rule:
For the expression , we apply the rule:
Thus, the expression simplifies to:
Would you like further details on this topic? Here are five related questions:
- How do you combine multiple logarithmic expressions into a single logarithm?
- What happens when you add two logarithms with the same base?
- How can the properties of logarithms simplify complex logarithmic expressions?
- What is the reverse process of combining logarithms (expanding)?
- How do you apply logarithms to solve exponential equations?
Tip: Always remember to check the base of the logarithms before combining them!
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Math Problem Analysis
Mathematical Concepts
Logarithms
Properties of Logarithms
Formulas
log_b(a) - log_b(c) = log_b(a/c)
Theorems
Logarithmic Subtraction Rule
Suitable Grade Level
Grades 9-12