MathDB
Logarithmic Manipulation

Source:

November 10, 2005
logarithmsBasic maths

Problem Statement

Let xx, yy, and zz all exceed 1 and let ww be a positive number such that \log_x w = 24,  \log_y w = 40  \text{and}  \log_{xyz} w = 12. Find logzw\log_z w.