Math Problem Statement
If (log3 4)(log4 5)(log5 6) · · · (log30 31)(log31 32) = a/b log2(3) , where a and b a positive integers with no common factors, determine the value of a + b.
Solution
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Math Problem Analysis
Mathematical Concepts
Logarithms
Change of Base Formula
Simplification of Products
Formulas
Change of Base Formula: log_b(a) = log_c(a) / log_c(b)
Logarithmic Properties: Product and Quotient Rules
Theorems
Properties of Logarithms
Change of Base Theorem
Suitable Grade Level
Grades 10-12
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