MathDB
Dependency of a Logarithm

Source:

June 8, 2009
logarithms

Problem Statement

If a a and b b are positive and a\not\equal{} 1,\,b\not\equal{} 1, then the value of blogba b^{\log_b{a}} is: <spanclass=latexbold>(A)</span> dependent upon b<spanclass=latexbold>(B)</span> dependent upon a<spanclass=latexbold>(C)</span> dependent upon a and b<spanclass=latexbold>(D)</span> zero<spanclass=latexbold>(E)</span> one <span class='latex-bold'>(A)</span>\ \text{dependent upon }{b} \qquad <span class='latex-bold'>(B)</span>\ \text{dependent upon }{a}\qquad <span class='latex-bold'>(C)</span>\ \text{dependent upon }{a}\text{ and }{b}\qquad <span class='latex-bold'>(D)</span>\ \text{zero}\qquad <span class='latex-bold'>(E)</span>\ \text{one}