High School
SAT
SAT Elite 1500
SAT Tutoring
ACT
ACT Elite 33
ACT Tutoring
University
MCAT
MCAT Elite 515
Med-School Admissions
Pre-Med Tutoring
Pre-Med Plus
LSAT
LSAT Elite 170
LSAT Self-Paced
LSAT Tutoring
DAT
DAT Elite
DAT Tutoring
Log in
Get Started for Free
Rates of Change of Logarithmic Functions
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Rates of Change
Rates of Change of Logarithmic Functions
5 Activities
Practice: Rates of Change of Logarithmic Functions
Let
f
(
x
)
=
4
log
3
(
x
−
3
)
+
1
f(x)=4\log_3(x-3)+1
f
(
x
)
=
4
lo
g
3
(
x
−
3
)
+
1
. Determine the instantaneous rate of change when
x
=
6
x=6
x
=
6
.
Round to the nearest hundredth. Let
h
=
0.001
h=0.001
h
=
0.001
I don't know
Check Submission
More Rates of Change of Logarithmic Functions Questions:
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
If the instantaneous rate of change for the function
f
(
t
)
=
2
log
3
t
+
1
f(t)=2\log_3{t}+1
f
(
t
)
=
2
lo
g
3
t
+
1
is
10
10
10
, what is
t
t
t
? Let
h
=
0.001
h=0.001
h
=
0.001
.
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
A radioactive substance decays logarithmically. It can be modelled by the function
A
(
t
)
=
−
3
log
5
2
t
A(t)=-3\log_5{2t}
A
(
t
)
=
−
3
lo
g
5
2
t
, where
A
(
t
)
A(t)
A
(
t
)
is the amount of the substance in
mg
\text{mg}
mg
after
t
t
t
days.
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
A radioactive substance decays logarithmically. It can be modelled by the function
A
(
t
)
=
−
3
log
5
2
t
A(t)=-3\log_5{2t}
A
(
t
)
=
−
3
lo
g
5
2
t
, where
A
(
t
)
A(t)
A
(
t
)
is the amount of the substance in
mg
\text{mg}
mg
after
t
t
t
days.
Rates of Change of Logarithmic Functions
Practice: Rates of Change of Logarithmic Functions
Let
f
(
x
)
=
4
log
3
(
x
−
3
)
+
1
f(x)=4\log_3(x-3)+1
f
(
x
)
=
4
lo
g
3
(
x
−
3
)
+
1
. Determine the instantaneous rate of change when
x
=
6
x=6
x
=
6
.