Math Problem Statement
Find the value using log and antilog table: 3÷.82 ÷[(4.347 x √.06063) ÷ (.8721)²]
Solution
To solve this problem using logarithms and antilogarithms, follow these steps:
Problem:
Find the value of:
Step-by-Step Solution:
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Simplify the Expression: First, break down the problem into smaller steps:
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Logarithms: Use the logarithm properties to compute the values:
Numerator:
Using subtraction for division:
Denominator:
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For , compute : Divide by 2 (square root):
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Add and :
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For , compute: Multiply by 2:
Subtract for the division:
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Combine Numerator and Denominator: Subtract the denominator from the numerator:
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Antilogarithm: Find the antilog of :
Final Answer:
Let me know if you need a breakdown of any specific step or further clarification.
Related Questions:
- How do you simplify expressions involving logarithms and antilogarithms?
- What is the general formula for calculating square roots using logarithms?
- How can you find the antilogarithm without a calculator?
- Why is logarithmic computation useful for complex expressions?
- How do you interpret negative values in logarithmic calculations?
Tip:
Always double-check logarithm and antilogarithm values in the table to ensure precision.
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Math Problem Analysis
Mathematical Concepts
Logarithms
Antilogarithms
Arithmetic Operations
Square Roots
Formulas
Logarithmic Property: log(a/b) = log(a) - log(b)
Logarithmic Property for Exponents: log(a^b) = b × log(a)
Square Root Using Logarithms: log(√a) = log(a)/2
Antilogarithm: antilog(log(a)) = a
Theorems
Logarithm Laws
Suitable Grade Level
Grades 10-12
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