Logarithmic Expressions
AP Precalculus · Flashcards
AP PRECALCULUS · FLASHCARDS
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QUESTION
Solve for
x
x
x
:
log
7
(
x
)
=
2
3
\log_7(x)=\frac{2}{3}
lo
g
7
(
x
)
=
3
2
.
QUESTION
Identify the condensed form of
2
log
b
(
x
)
−
log
b
(
y
)
+
3
log
b
(
z
)
2\log_b(x)-\log_b(y)+3\log_b(z)
2
lo
g
b
(
x
)
−
lo
g
b
(
y
)
+
3
lo
g
b
(
z
)
.
QUESTION
What is the quotient property of logarithms for
log
b
(
M
N
)
\log_b\left(\frac{M}{N}\right)
lo
g
b
(
N
M
)
?
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ANSWER
log
b
(
M
N
)
=
log
b
(
M
)
−
log
b
(
N
)
\log_b\left(\frac{M}{N}\right)=\log_b(M)-\log_b(N)
lo
g
b
(
N
M
)
=
lo
g
b
(
M
)
−
lo
g
b
(
N
)
. The log of a quotient equals the difference of the logs.
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