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Math Problems
Precalculus
Solve exponential equations using logarithms
Solve. Round your answer to the nearest thousandth.
\newline
6
=
5
x
6 = 5^x
6
=
5
x
\newline
x
=
x =
x
=
____
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Solve. Round your answer to the nearest thousandth.
\newline
9
=
5
x
9 = 5^x
9
=
5
x
\newline
x
=
x =
x
=
____
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Solve. Round your answer to the nearest thousandth.
\newline
9
=
2
x
9 = 2^x
9
=
2
x
\newline
x
=
x =
x
=
____
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Compute:
\newline
63
×
1
0
4
63 \times 10^{4}
63
×
1
0
4
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
2
2
x
=
5
2^{2 x}=5
2
2
x
=
5
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
1
0
x
=
10
10^{x}=10
1
0
x
=
10
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
e
x
=
4
e^{x}=4
e
x
=
4
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
3
x
=
67
3^{x}=67
3
x
=
67
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
2
x
=
7
2^{x}=7
2
x
=
7
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
3
x
=
58
3^{x}=58
3
x
=
58
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
2
x
=
12
2^{x}=12
2
x
=
12
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
3
x
=
79
3^{x}=79
3
x
=
79
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
1
0
x
=
68
10^{x}=68
1
0
x
=
68
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
38
e
x
=
304
38 e^{x}=304
38
e
x
=
304
\newline
Answer:
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Solve for
x
x
x
, rounding to the nearest hundredth.
\newline
3
x
=
45
3^{x}=45
3
x
=
45
\newline
Answer:
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Find the sum of the first
48
48
48
terms of the following series, to the nearest integer.
\newline
2
,
7
,
12
,
…
2,7,12, \ldots
2
,
7
,
12
,
…
\newline
Answer:
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Find the
9
9
9
th term of the arithmetic sequence
4
x
+
7
,
9
x
+
10
,
14
x
+
13
,
…
4 x+7,9 x+10,14 x+13, \ldots
4
x
+
7
,
9
x
+
10
,
14
x
+
13
,
…
\newline
Answer:
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If
f
(
x
)
=
2
2
x
+
10
f(x)=2^{2 x}+10
f
(
x
)
=
2
2
x
+
10
, what is the value of
f
(
−
3
)
f(-3)
f
(
−
3
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
3
3
x
+
14
f(x)=3^{3 x}+14
f
(
x
)
=
3
3
x
+
14
, what is the value of
f
(
−
1
)
f(-1)
f
(
−
1
)
, to the nearest thousandth (if necessary)?
\newline
Answer:
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If
f
(
x
)
=
7
4
x
−
11
f(x)=7^{4 x}-11
f
(
x
)
=
7
4
x
−
11
, what is the value of
f
(
1
)
f(1)
f
(
1
)
, to the nearest ten-thousandth (if necessary)?
\newline
Answer:
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Solve the equation
x
2
−
6
x
−
37
=
0
x^{2}-6 x-37=0
x
2
−
6
x
−
37
=
0
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve the equation
x
2
−
7
x
+
8
=
0
x^{2}-7 x+8=0
x
2
−
7
x
+
8
=
0
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
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Solve the equation
x
2
−
3
x
+
9
=
−
10
x
x^{2}-3 x+9=-10 x
x
2
−
3
x
+
9
=
−
10
x
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve the equation
−
14
x
+
15
=
−
x
2
-14 x+15=-x^{2}
−
14
x
+
15
=
−
x
2
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
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Solve the equation
2
x
2
+
5
x
+
3
=
−
7
x
2 x^{2}+5 x+3=-7 x
2
x
2
+
5
x
+
3
=
−
7
x
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve the equation
x
2
−
x
−
11
=
−
2
x
x^{2}-x-11=-2 x
x
2
−
x
−
11
=
−
2
x
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve the equation
2
x
2
+
16
x
+
56
=
x
2
2 x^{2}+16 x+56=x^{2}
2
x
2
+
16
x
+
56
=
x
2
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve the equation
x
2
+
17
x
+
40
=
0
x^{2}+17 x+40=0
x
2
+
17
x
+
40
=
0
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve the equation
3
x
2
−
5
x
−
5
=
0
3 x^{2}-5 x-5=0
3
x
2
−
5
x
−
5
=
0
to the nearest tenth.
\newline
Answer:
x
=
x=
x
=
Get tutor help
Find the
87
87
87
th term of the arithmetic sequence
−
26
,
−
11
,
4
,
…
-26,-11,4, \ldots
−
26
,
−
11
,
4
,
…
\newline
Answer:
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−
15
⋅
2
−
0.5
x
=
−
90
-15 \cdot 2^{-0.5 x}=-90
−
15
⋅
2
−
0.5
x
=
−
90
\newline
What is the solution of the equation?
\newline
Round your answer, if necessary, to the nearest thousandth.
\newline
x
≈
x \approx
x
≈
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100
⋅
2
4
x
=
15
100 \cdot 2^{4 x}=15
100
⋅
2
4
x
=
15
\newline
What is the solution of the equation?
\newline
Round your answer, if necessary, to the nearest thousandth.
\newline
x
≈
x \approx
x
≈
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Solve. Round your answer to the nearest thousandth.
\newline
7
=
8
x
7 = 8^x
7
=
8
x
\newline
x
=
x =
x
=
____
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