Math Problem Statement
log base 6 2 + log base 6 18 =
Solution
To simplify this expression:
we can use the property of logarithms that states:
So,
Calculating inside the logarithm:
Thus,
Since is , we can rewrite it as:
Final Answer:
Would you like a further breakdown or have any questions?
Here are five related questions to deepen your understanding:
- How do you simplify ?
- What is ?
- How would you convert to a different base, like base 10?
- What is and why?
- How do you evaluate in general?
Tip: When adding logs with the same base, remember you can combine them by multiplying the values inside the logarithm.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Logarithmic Properties
Exponentiation
Formulas
log_b A + log_b B = log_b (A * B)
log_b (A^k) = k * log_b A
Theorems
Product Property of Logarithms
Suitable Grade Level
Grades 9-12
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