Math Problem Statement
Evaluate log 0.000 01
Solution
To evaluate the logarithm , we proceed as follows:
-
Express the number in scientific notation:
. -
Apply the logarithm property:
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Simplify:
Since ,
So, .
The correct answer is .
Would you like more details or have any questions?
Here are 8 related questions for further practice:
- Evaluate .
- Find the value of .
- Calculate .
- What is ?
- Solve for in the equation .
- Evaluate .
- Determine the value of .
- What is the value of ?
Tip: Remember that the logarithm of a number in the form of simplifies to just , as .
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Math Problem Analysis
Mathematical Concepts
Logarithms
Formulas
\( \log(ab) = \log(a) + \log(b) \)
\( \log \left( \frac{a}{b} \right) = \log(a) - \log(b) \)
\( \log(a^b) = b \cdot \log(a) \)
Theorems
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Suitable Grade Level
Grades 10-12
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