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Math Problems
Precalculus
Convert between exponential and logarithmic form
Write the log equation as an exponential equation. You do not need to solve for
x
\mathrm{x}
x
.
\newline
log
(
5
)
=
2
x
−
5
\log (5)=2 x-5
lo
g
(
5
)
=
2
x
−
5
\newline
Answer:
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Write the log equation as an exponential equation. You do not need to solve for
x
\mathrm{x}
x
.
\newline
log
5
x
(
5
x
)
=
2
\log _{5 x}(5 x)=2
lo
g
5
x
(
5
x
)
=
2
\newline
Answer:
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Write in exponential notation:
\newline
(
3
m
)
2
(3m)^2
(
3
m
)
2
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Write in standard form:
\newline
6
×
1
0
5
6 \times 10^{5}
6
×
1
0
5
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Write an exponential function in the form
y
=
a
b
x
y=a b^{x}
y
=
a
b
x
that goes through the points
(
0
,
14
)
(0,14)
(
0
,
14
)
and
(
4
,
1134
)
(4,1134)
(
4
,
1134
)
.
\newline
Answer:
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Write an exponential function in the form
y
=
a
b
x
y=a b^{x}
y
=
a
b
x
that goes through the points
(
0
,
15
)
(0,15)
(
0
,
15
)
and
(
4
,
1215
)
(4,1215)
(
4
,
1215
)
.
\newline
Answer:
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Find the derivative of the following function.
\newline
y
=
log
5
(
6
x
6
−
2
x
5
)
y=\log _{5}\left(6 x^{6}-2 x^{5}\right)
y
=
lo
g
5
(
6
x
6
−
2
x
5
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
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