Math Problem Statement
Sederhanakan, dan buat cara jalannya
Sederhanakanlah! 2log 16 - 2log 4
Solution
The problem is asking you to simplify the expression:
Step-by-step Solution:
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Apply the properties of logarithms:
Using the logarithmic property:
So,
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Simplify the fraction:
Now the expression becomes:
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Simplify the logarithm:
We know that , so:
Final Answer:
Let me know if you would like further details or if you have any questions!
Here are five related questions to expand on this:
- How would you simplify ?
- What is the value of ?
- Can you apply the same logarithmic properties to solve ?
- How does the change of base formula help in simplifying logarithms?
- Can logarithmic properties be used to simplify products, such as ?
Tip: When working with logarithms, always remember the key properties like the product, quotient, and power rules. They make simplification much easier!
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Math Problem Analysis
Mathematical Concepts
Logarithms
Properties of Logarithms
Simplification
Formulas
log_b a - log_b c = log_b(a/c)
log_b a^n = n log_b a
Theorems
Properties of Logarithms
Suitable Grade Level
Grades 9-11