Math Problem Statement
Nilai dari log₂ (1/128) adalah...
Solution
The question in the image asks for the value of:
To solve this, we use the logarithmic properties and powers of 2.
Step 1: Express as a power of 2
We know that: Thus,
Step 2: Apply the logarithmic rule
Using the property , we get:
Final Answer:
The value of is .
Therefore, the correct answer is C. -7.
Do you need any further details or have any other questions?
Related questions:
- What is the general formula for calculating logarithms of fractions?
- How can you solve ?
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- How would you approach ?
- Can you explain the change of base formula for logarithms?
Tip:
When working with logarithms, remember that fractions can often be expressed as negative exponents, which makes logarithmic calculations simpler.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Exponents
Formulas
log_b (a^c) = c log_b (a)
Theorems
Logarithm properties
Power rule for logarithms
Suitable Grade Level
Grades 9-12