Logarithmic Functions
ACT · Flashcards · Recall
ACT · FLASHCARDS
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QUESTION
What vertical asymptote does
f
(
x
)
=
log
b
(
x
)
f(x)=\log_b(x)
f
(
x
)
=
lo
g
b
(
x
)
have?
QUESTION
What restriction on the input
x
x
x
is required for $
log
b
\log_b
lo
g
b
(x)$ to be defined over the reals?
QUESTION
Express
b
log
b
(
x
)
b^{\text{log}_b(x)}
b
log
b
(
x
)
in simplest form.
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ANSWER
b
log
b
(
x
)
=
x
b^{\text{log}_b(x)} = x
b
log
b
(
x
)
=
x
. The exponential and logarithm with same base cancel out.
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