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Math Problems
Precalculus
Evaluate logarithms
Evaluate.
\newline
log
3
27
\log_3 27
lo
g
3
27
\newline
Write your answer in simplest form.
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log
16
4
\log _{16} 4
lo
g
16
4
=
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Add. Write your answer as a fraction or as a whole or mixed number.
\newline
1
1
3
+
6
1
3
=
1\frac{1}{3} + 6\frac{1}{3} =
1
3
1
+
6
3
1
=
_____
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Solve for a positive value of
x
x
x
.
\newline
log
x
(
729
)
=
3
\log _{x}(729)=3
lo
g
x
(
729
)
=
3
\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
(
4
)
=
3
x
+
2
\log (4)=3 x+2
lo
g
(
4
)
=
3
x
+
2
\newline
Answer:
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Add or Subtract Unlike Fractions and Mixed Numbers
\newline
18
−
13
4
=
18-\frac{13}{4}=
18
−
4
13
=
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log
3
81
\log _{3} 81
lo
g
3
81
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log
8
63
−
log
8
9
=
\log_{8}63-\log_{8}9=
lo
g
8
63
−
lo
g
8
9
=
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Evaluate.
\newline
log
3
(
27
)
\log_{3}(27)
lo
g
3
(
27
)
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What is the value of
log
3
9
3
\log _{3} \sqrt[3]{9}
lo
g
3
3
9
?
\newline
Answer:
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Evaluate:
\newline
log
243
27
\log _{243} 27
lo
g
243
27
\newline
Answer:
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Evaluate:
\newline
log
27
1
243
\log _{27} \frac{1}{243}
lo
g
27
243
1
\newline
Answer:
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Evaluate:
\newline
log
16
4
\log _{16} 4
lo
g
16
4
\newline
Answer:
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Express the given expression as an integer or as a fraction in simplest form.
\newline
(
7
log
7
6
)
\left(7^{\log _{7} 6}\right)
(
7
l
o
g
7
6
)
\newline
Answer:
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Express the given expression as an integer or as a fraction in simplest form.
\newline
log
(
1
0
2
)
\log \left(10^{2}\right)
lo
g
(
1
0
2
)
\newline
Answer:
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Express the given expression as an integer or as a fraction in simplest form.
\newline
(
1
1
log
11
2
)
\left(11^{\log _{11} 2}\right)
(
1
1
l
o
g
11
2
)
\newline
Answer:
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1
1
1
]
log
7
49
=
2
\log _{7} 49=2
lo
g
7
49
=
2
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Find
log
4
8
\log_{4}8
lo
g
4
8
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Evaluate.
\newline
a)
log
3
(
−
27
)
\log_{3}(-27)
lo
g
3
(
−
27
)
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Apply the distributive property to factor out the greatest common factor.
\newline
44
h
−
33
=
44 h-33=
44
h
−
33
=
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Apply the distributive property to factor out the greatest common factor of all three terms.
\newline
24
c
+
36
d
+
18
=
24 c+36 d+18=
24
c
+
36
d
+
18
=
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Apply the distributive property to factor out the greatest common factor of all three terms.
\newline
9
−
12
x
+
6
y
=
9-12 x+6 y=
9
−
12
x
+
6
y
=
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The product
796
×
68
796 \times 68
796
×
68
equals
54
,
128
54,128
54
,
128
. Use the previous fact to evaluate as a decimal.
\newline
7.96
×
6.8
=
7.96 \times 6.8=
7.96
×
6.8
=
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The product
178
×
86
178 \times 86
178
×
86
equals
15
,
308
15,308
15
,
308
.
\newline
Use the previous fact to evaluate as a decimal.
\newline
17.8
×
8.6
=
17.8 \times 8.6=
17.8
×
8.6
=
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Combine the like terms to create an equivalent expression.
\newline
4
q
+
3
+
2
q
−
1
=
4q+3+2q-1=
4
q
+
3
+
2
q
−
1
=
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Combine the like terms to create an equivalent expression.
\newline
4
r
+
14
−
r
−
6
=
4r+14-r-6=
4
r
+
14
−
r
−
6
=
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Combine the like terms to create an equivalent expression.
\newline
4
p
+
6
−
3
=
□
4p+6-3=\Box
4
p
+
6
−
3
=
□
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Combine the like terms to create an equivalent expression.
\newline
2
a
+
6
+
1
=
□
2a+6+1=\square
2
a
+
6
+
1
=
□
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Combine the like terms to create an equivalent expression.
\newline
7
+
3
n
−
2
=
0
7+3n-2=\boxed{\phantom{0}}
7
+
3
n
−
2
=
0
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Combine the like terms to create an equivalent expression.
\newline
8
x
−
1
−
2
y
+
4
8x-1-2y+4
8
x
−
1
−
2
y
+
4
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Combine the like terms to create an equivalent expression.
\newline
4
n
+
6
+
n
−
2
=
4n+6+n-2=
4
n
+
6
+
n
−
2
=
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Combine the like terms to create an equivalent expression.
\newline
8
q
+
6
+
7
8q+6+7
8
q
+
6
+
7
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Combine the like terms to create an equivalent expression.
\newline
5
t
+
10
−
4
−
t
=
5t+10-4-t=
5
t
+
10
−
4
−
t
=
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Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.
\newline
log
3
81
=
\log_3 81 =
lo
g
3
81
=
______
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