Exponents, Logarithms, and Their Inverse Relationship
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the inverse statement that matches
a
b
=
c
a^b=c
a
b
=
c
using logarithms (with
a
>
0
a>0
a
>
0
,
a
≠
1
a\ne 1
a
=
1
,
c
>
0
c>0
c
>
0
)?
QUESTION
What is the horizontal asymptote of
y
=
b
x
y=b^x
y
=
b
x
for
b
>
0
b>0
b
>
0
and
b
≠
1
b\ne 1
b
=
1
?
QUESTION
What is the quotient rule for logarithms:
log
b
(
M
N
)
\log_b\left(\frac{M}{N}\right)
lo
g
b
(
N
M
)
equals what (for
M
>
0
M>0
M
>
0
,
N
>
0
N>0
N
>
0
)?
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ANSWER
log
b
(
M
)
−
log
b
(
N
)
\log_b(M)-\log_b(N)
lo
g
b
(
M
)
−
lo
g
b
(
N
)
. Logarithm of a quotient equals difference of logarithms.
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