Exponential and Logarithmic Equations and Inequalities
AP Precalculus · Flashcards · Recall
AP PRECALCULUS · FLASHCARDS
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QUESTION
What is the base change formula for
log
b
(
x
)
\text{log}_b(x)
log
b
(
x
)
?
QUESTION
What is the value of
log
b
(
b
0
)
\text{log}_b(b^0)
log
b
(
b
0
)
?
QUESTION
Identify the change of base formula for logarithms.
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ANSWER
log
b
(
x
)
=
log
k
(
x
)
log
k
(
b
)
\text{log}_b(x) = \frac{\text{log}_k(x)}{\text{log}_k(b)}
log
b
(
x
)
=
log
k
(
b
)
log
k
(
x
)
. Converts logarithm from base
b
b
b
to any other base
k
k
k
.
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