MathDB
Exponential Relations

Source:

January 14, 2009
logarithms

Problem Statement

Suppose that 4^a \equal{} 5, 5^b \equal{} 6, 6^c \equal{} 7, and 7^d \equal{} 8. What is a⋅b⋅c⋅d a\cdot b\cdot c\cdot d? <spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 32<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 52<spanclass=′latex−bold′>(E)</span> 3 <span class='latex-bold'>(A)</span>\ 1\qquad <span class='latex-bold'>(B)</span>\ \frac{3}{2}\qquad <span class='latex-bold'>(C)</span>\ 2\qquad <span class='latex-bold'>(D)</span>\ \frac{5}{2}\qquad <span class='latex-bold'>(E)</span>\ 3
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