MathDB
Zeros of a Function Composition

Source:

January 11, 2009
functiontrigonometry

Problem Statement

How many zeros does f(x) \equal{} \cos(\log(x))) have on the interval 0<x<1 0 < x < 1? <spanclass=latexbold>(A)</span> 0<spanclass=latexbold>(B)</span> 1<spanclass=latexbold>(C)</span> 2<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> infinitely many <span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 2 \qquad <span class='latex-bold'>(D)</span>\ 10 \qquad <span class='latex-bold'>(E)</span>\ \text{infinitely many}