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Precalculus Examples
Popular Problems Precalculus Simplify/Condense 2 log of x-3 log of y+ log of z
2
log
(
x
)
−
3
log
(
y
)
+
log
(
z
)
Simplify each term.
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log
(
x
2
)
−
log
(
y
3
)
+
log
(
z
)
Use the quotient property of logarithms,
log
b
(
x
)
−
log
b
(
y
)
=
log
b
(
x
y
)
.
log
(
x
2
y
3
)
+
log
(
z
)
Use the product property of logarithms,
log
b
(
x
)
+
log
b
(
y
)
=
log
b
(
x
y
)
.
log
(
x
2
y
3
z
)
Combine
x
2
y
3
and
z
.
log
(
x
2
z
y
3
)
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