Logarithmic Expressions
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
Identify the simplified value:
log
3
(
1
27
)
\log_3\left(\frac{1}{27}\right)
lo
g
3
(
27
1
)
equals what?
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
)
.
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ANSWER
log
b
(
x
2
z
3
y
)
\log_b\!\left(\frac{x^2z^3}{y}\right)
lo
g
b
(
y
x
2
z
3
)
. Combine using power rule, then product/quotient rules.
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