Business I / Organizing and Structure
Practice question · Numerical answer

A company has 729 front-line workers and uniform span of control 9 at every level. Compute how many management layers sit above the front line (log9729\log_9 729).

Hints
  1. 9?=7299^? = 729.
  2. 9×9×99 \times 9 \times 9.
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Why

93=7299^3 = 729: three layers, 81 team leads, 9 managers, 1 director. Change the span to 3 and the same workforce needs six layers; the exponent is the whole delayering debate.

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