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1
Logarithmic Manipulation
Logarithmic Manipulation
Source:
November 10, 2005
logarithms
Basic maths
Problem Statement
Let
x
x
x
,
y
y
y
, and
z
z
z
all exceed 1 and let
w
w
w
be a positive number such that \log_x w = 24, \log_y w = 40 \text{and} \log_{xyz} w = 12. Find
log
z
w
\log_z w
lo
g
z
w
.
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