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Part of 1983 AIME Problems

Problems(1)

Logarithmic Manipulation

Source:

11/10/2005
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 log⁡zw\log_z w.
logarithmsBasic maths