Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 2
Solve exponential equations by rewriting the base
2
x
=
x
+
2
2^{x}=x+2
2
x
=
x
+
2
Get tutor help
5
x
+
2
=
125
5^{x+2} = 125
5
x
+
2
=
125
Get tutor help
x
x
=
0.
5
0.5
x^x=0.5^{0.5}
x
x
=
0.
5
0.5
Get tutor help
Learn with an example
∨
{ }^{\vee}
∨
or Watch a video (D)
\newline
Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
2
2
⋅
2
2
=
2^{2} \cdot 2^{2}=
2
2
⋅
2
2
=
\newline
Submit
Get tutor help
7
a
=
3
7
7^a = 3 \sqrt{7}
7
a
=
3
7
Get tutor help
e
i
π
+
1
=
0
e^{i\pi}+1=0
e
iπ
+
1
=
0
Get tutor help
e
i
π
−
1
=
0
e^i\pi-1=0
e
i
π
−
1
=
0
Get tutor help
The scale factor of two similar polygons is given.
\newline
2
:
3
2:3
2
:
3
\newline
Perimeter Ratio
\newline
=
=
=
\newline
Area Ratio
\newline
=
=
=
Get tutor help
if
3
a
=
5
3
4
3^a=5\sqrt{3^4}
3
a
=
5
3
4
, what is the value of
a
a
a
?
Get tutor help
1
+
9
n
4
=
52
1+9n^4=52
1
+
9
n
4
=
52
Get tutor help
Complete the square to re-write the quadratic function in vertex form:
\newline
y
=
x
2
−
x
−
1
y=x^{2}-x-1
y
=
x
2
−
x
−
1
\newline
Answer:
y
=
y=
y
=
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
x
2
+
8
x
+
27
=
0
x^{2}+8 x+27=0
x
2
+
8
x
+
27
=
0
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
x
2
−
12
x
+
70
=
0
x^{2}-12 x+70=0
x
2
−
12
x
+
70
=
0
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
x
2
+
2
x
+
8
=
8
x^{2}+2 x+8=8
x
2
+
2
x
+
8
=
8
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
−
3
x
2
+
48
x
−
125
=
x
2
+
3
-3 x^{2}+48 x-125=x^{2}+3
−
3
x
2
+
48
x
−
125
=
x
2
+
3
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
3
x
2
+
42
x
+
74
=
6
x
−
7
3 x^{2}+42 x+74=6 x-7
3
x
2
+
42
x
+
74
=
6
x
−
7
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
−
x
2
+
4
x
+
11
=
8
x
−
1
-x^{2}+4 x+11=8 x-1
−
x
2
+
4
x
+
11
=
8
x
−
1
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
x
2
+
4
x
+
32
=
2
x
x^{2}+4 x+32=2 x
x
2
+
4
x
+
32
=
2
x
\newline
Answer:
Get tutor help
For the following quadratic equation, find the discriminant.
\newline
−
2
x
2
−
12
x
+
12
=
−
2
-2 x^{2}-12 x+12=-2
−
2
x
2
−
12
x
+
12
=
−
2
\newline
Answer:
Get tutor help
2
2
2
)
17
=
3
x
17=3^{x}
17
=
3
x
Get tutor help
Determine the value of
y
y
y
, if
x
x
x
is
−
5
-5
−
5
.
\newline
y
=
x
2
+
1
y=x^{2}+1
y
=
x
2
+
1
\newline
Answer:
Get tutor help
Determine the value of
y
y
y
, if
x
x
x
is
7
7
7
.
\newline
y
=
x
2
+
1
y=x^{2}+1
y
=
x
2
+
1
\newline
Answer:
Get tutor help
Determine the value of
y
y
y
, if
x
x
x
is
−
11
-11
−
11
.
\newline
y
=
x
2
+
1
y=x^{2}+1
y
=
x
2
+
1
\newline
Answer:
Get tutor help
Determine the value of
y
y
y
, if
x
x
x
is
−
2
-2
−
2
.
\newline
y
=
x
2
+
1
y=x^{2}+1
y
=
x
2
+
1
\newline
Answer:
Get tutor help
Solve the following equations:
\newline
1
1
1
)
8
t
=
6
8^{t}=6
8
t
=
6
Get tutor help
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an
(
x
,
y
)
(x, y)
(
x
,
y
)
point.
\newline
y
=
−
x
2
−
6
y=-x^{2}-6
y
=
−
x
2
−
6
\newline
Answer:
Get tutor help
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an
(
x
,
y
)
(x, y)
(
x
,
y
)
point.
\newline
y
=
−
x
2
+
10
x
−
26
y=-x^{2}+10 x-26
y
=
−
x
2
+
10
x
−
26
\newline
Answer:
Get tutor help
Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an
(
x
,
y
)
(x, y)
(
x
,
y
)
point.
\newline
y
=
x
2
−
6
y=x^{2}-6
y
=
x
2
−
6
\newline
Answer:
Get tutor help
Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
x
2
+
8
y=x^{2}+8
y
=
x
2
+
8
\newline
Answer:
Get tutor help
Find the value of
x
x
x
in the equation below.
\newline
18
=
x
+
5
18=x+5
18
=
x
+
5
\newline
Answer:
x
=
x=
x
=
Get tutor help
What is the value of
A
A
A
when we rewrite
2
x
−
6
+
2
x
2^{x-6}+2^{x}
2
x
−
6
+
2
x
as
A
⋅
2
x
A \cdot 2^{x}
A
⋅
2
x
?
\newline
A
=
A=
A
=
Get tutor help
Solve the exponential equation for
x
x
x
.
\newline
5
6
3
x
−
8
=
1
56^{3 x-8}=1
5
6
3
x
−
8
=
1
\newline
x
=
x=
x
=
Get tutor help
Solve the exponential equation for
x
x
x
.
\newline
2
6
9
x
+
5
=
1
26^{9 x+5}=1
2
6
9
x
+
5
=
1
\newline
x
=
x=
x
=
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
f
(
x
)
=
(
x
+
2
)
2
−
64
f(x)=(x+2)^{2}-64
f
(
x
)
=
(
x
+
2
)
2
−
64
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
Get tutor help
Solve. Write your answer as an integer or a fraction in simplest form.
\newline
4
=
8
x
4 = 8^x
4
=
8
x
\newline
x
=
x=
x
=
______
Get tutor help
Solve. Write your answer as an integer or a fraction in simplest form.
\newline
5
x
=
1
5^x=1
5
x
=
1
\newline
x
=
x=
x
=
_____
Get tutor help
Previous
1
2