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Math Problems
Precalculus
Solve logarithmic equations with multiple logarithms
3
x
−
4
y
=
z
3x-4y=z
3
x
−
4
y
=
z
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U
3
−
3
=
5
\frac{U}{3} - 3 = 5
3
U
−
3
=
5
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−
10
+
r
=
−
1
-10+r=-1
−
10
+
r
=
−
1
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Solve. Simplify your answer.
\newline
log
u
=
1
\log u = 1
lo
g
u
=
1
\newline
u
=
u =
u
=
____
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2
x
+
3
=
15
2 x+3=15
2
x
+
3
=
15
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x
−
5
y
=
−
15
x-5 y=-15
x
−
5
y
=
−
15
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Find the value of
r
r
r
.
\newline
20
=
r
+
11
20=r+11
20
=
r
+
11
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33
+
a
=
12
a
33+a=12a
33
+
a
=
12
a
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x
−
2
y
=
−
5
x-2 y=-5
x
−
2
y
=
−
5
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Solve for y:
\newline
21
+
y
=
24
21+y=24
21
+
y
=
24
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14
−
b
8
=
17
14-\frac{b}{8}=17
14
−
8
b
=
17
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2
x
+
3
=
5
x
2 x+3=5 x
2
x
+
3
=
5
x
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Resolva para
c
c
c
:
\newline
3
c
+
8
=
32
3 c+8=32
3
c
+
8
=
32
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If
400000
=
70
400000=70
400000
=
70
then
62000
=
?
62000=?
62000
=
?
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10
=
4
a
+
3
10 = 4a + 3
10
=
4
a
+
3
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N
=
5
N=5
N
=
5
,
a
=
−
32
a=-32
a
=
−
32
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Comprete the prime factorization of each value.
\newline
222
=
2
222=2
222
=
2
\newline
□
\square
□
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−
5
x
+
1
=
−
6
-5x + 1 = -6
−
5
x
+
1
=
−
6
\newline
What is the solution to the equation show?
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600
x
+
200
=
500
x
600x + 200 =500x
600
x
+
200
=
500
x
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Y
=
−
1
2
+
3
,
y
=
5
Y=-\frac{1}{2}+3, y=5
Y
=
−
2
1
+
3
,
y
=
5
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3
x
−
x
2
=
0
3x-x^2=0
3
x
−
x
2
=
0
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10
−
x
=
0
10-x=0
10
−
x
=
0
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X
+
2
y
=
−
4
X+2y=-4
X
+
2
y
=
−
4
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5
x
=
5
5 x=5
5
x
=
5
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Solve for
x
x
x
.
\newline
x
2
−
6
x
=
5
x^2 - 6x = 5
x
2
−
6
x
=
5
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The basketball team scored a total of
86
86
86
points. Josiah scored one-half the points of Jared.
\newline
Maricella scored two less than Jared. Jared and Connie both scored the same number of points and Bryan scored twice as many as Connie. How many points did each player score?
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2
x
−
3
y
=
−
1
2x-3y=-1
2
x
−
3
y
=
−
1
\newline
y
=
x
−
1
y=x-1
y
=
x
−
1
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Solve for all values of
x
x
x
in simplest form.
\newline
8
+
5
∣
x
−
10
∣
=
23
8+5|x-10|=23
8
+
5∣
x
−
10∣
=
23
\newline
Answer:
x
=
x=
x
=
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Solve for all values of
x
x
x
in simplest form.
\newline
10
+
∣
2
x
+
5
∣
=
22
10+|2 x+5|=22
10
+
∣2
x
+
5∣
=
22
\newline
Answer:
x
=
x=
x
=
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Solve for
x
x
x
.
\newline
4
x
+
8
=
x
−
1
4 x+8=x-1
4
x
+
8
=
x
−
1
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−
4
x
+
7
=
15
-4 x+7=15
−
4
x
+
7
=
15
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−
2
×
□
÷
−
4
=
−
21
-2 \times \square \div-4=-21
−
2
×
□
÷
−
4
=
−
21
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48
+
a
=
50
48+a=50
48
+
a
=
50
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X
−
5
=
0
X-5=0
X
−
5
=
0
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Bob's Gift Shop sold
800
800
800
cards for Mother's Day. One salesman, Andrew, sold
4
%
4 \%
4%
of the cards sold for Mother's Day. How many cards did Andrew sell?
\newline
Answer:
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Find
x
x
x
.
1
4
x
+
4
=
8
\frac{1}{4}x+4=8
4
1
x
+
4
=
8
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Use addition to rewrite the subtraction expression below without changing the digits. Do not solve.
\newline
15
−
(
−
14
)
15-(-14)
15
−
(
−
14
)
\newline
Answer:
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95
=
−
4
+
33
x
95=-4+33 x
95
=
−
4
+
33
x
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20
=
r
+
11
20=r+11
20
=
r
+
11
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Find
x
x
x
.
\newline
6
−
x
=
4
6-x=4
6
−
x
=
4
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43
=
8
c
−
5
43=8c-5
43
=
8
c
−
5
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x
−
y
=
−
2
x-y=-2
x
−
y
=
−
2
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5
х
−
17
х
=
0
5х-17х=0
5
х
−
17
х
=
0
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Find the value of
x
x
x
\newline
x
=
y
−
5
x=y-5
x
=
y
−
5
\newline
y
=
10
y=10
y
=
10
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Given that
f
(
x
)
=
−
4
x
,
g
(
x
)
=
x
−
2
f(x)=-4 x, \quad g(x)=x-2
f
(
x
)
=
−
4
x
,
g
(
x
)
=
x
−
2
and
h
(
x
)
=
2
f
(
x
+
2
)
+
2
g
(
x
)
h(x)=2 f(x+2)+2 g(x)
h
(
x
)
=
2
f
(
x
+
2
)
+
2
g
(
x
)
, then what is the value of
h
(
5
)
h(5)
h
(
5
)
?
\newline
Answer:
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Find
x
x
x
:
\newline
5
x
−
9
+
(
−
5
)
=
25
5x-9+(-5)=25
5
x
−
9
+
(
−
5
)
=
25
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8
x
=
64
−
4
x
8x=64-4x
8
x
=
64
−
4
x
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3
c
+
5
=
32
3 c+5=32
3
c
+
5
=
32
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z
=
−
5
+
3
i
z=-5+3i
z
=
−
5
+
3
i
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x
+
9
≥
11
x+9 \geq 11
x
+
9
≥
11
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1
2
3
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