The expression
log
(
x
9
y
7
z
6
)
\displaystyle {\log{{\left(\frac{{{x}^{{9}}{y}^{{7}}}}{{z}^{{6}}}\right)}}}
lo
g
(
z
6
x
9
y
7
)
can be written in the form
A
log
(
x
)
+
B
log
(
y
)
+
C
log
(
z
)
\displaystyle {A}{\log{{\left({x}\right)}}}+{B}{\log{{\left({y}\right)}}}+{C}{\log{{\left({z}\right)}}}
A
lo
g
(
x
)
+
B
lo
g
(
y
)
+
C
lo
g
(
z
)
where
A
=
\displaystyle {A}=
A
=
,
B
=
\displaystyle {B}=
B
=
, and
C
=
\displaystyle {C}=
C
=
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