Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Precalculus
Power property of logarithms
logarithm of
27
9
4
9
3
27 \sqrt[4]{9} \sqrt[3]{9}
27
4
9
3
9
base
3
3
3
Get tutor help
∫
tan
x
5
d
x
\int \sqrt[5]{\tan x} d x
∫
5
tan
x
d
x
Get tutor help
4
v
3
⋅
1
z
2
4 v^{3} \cdot 1 z^{2}
4
v
3
⋅
1
z
2
Get tutor help
What is the value of the expression?
\newline
8
×
(
8
+
3
)
÷
2
2
8 \times(8+3) \div 2^{2}
8
×
(
8
+
3
)
÷
2
2
Get tutor help
pythagoras theoram
Get tutor help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of
log
x
\log x
lo
g
x
, and
log
y
\log y
lo
g
y
.
\newline
log
x
5
y
\log x^{5} y
lo
g
x
5
y
\newline
Answer:
Get tutor help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of
log
x
\log x
lo
g
x
, and
log
y
\log y
lo
g
y
.
\newline
log
x
2
y
4
\log x^{2} y^{4}
lo
g
x
2
y
4
\newline
Answer:
Get tutor help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of
log
x
\log x
lo
g
x
, and
log
y
\log y
lo
g
y
.
\newline
log
x
3
y
\log x^{3} y
lo
g
x
3
y
\newline
Answer:
Get tutor help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of
log
x
\log x
lo
g
x
, and
log
y
\log y
lo
g
y
.
\newline
log
x
3
y
4
\log x^{3} y^{4}
lo
g
x
3
y
4
\newline
Answer:
Get tutor help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of
log
x
\log x
lo
g
x
.
\newline
log
8
x
4
\log 8 x^{4}
lo
g
8
x
4
\newline
Answer:
Get tutor help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of
log
x
\log x
lo
g
x
, and
log
y
\log y
lo
g
y
.
\newline
log
x
5
y
2
\log x^{5} y^{2}
lo
g
x
5
y
2
\newline
Answer:
Get tutor help
Condense the logarithm
\newline
log
c
+
x
log
d
\log c+x \log d
lo
g
c
+
x
lo
g
d
\newline
Answer:
log
(
□
)
\log (\square)
lo
g
(
□
)
Get tutor help
Write in exponential notation
\newline
(
3
a
2
b
)
4
\left(3 a^{2} b\right)^{4}
(
3
a
2
b
)
4
Get tutor help
Write in exponential notation:
\newline
(
(
5
2
)
3
)
2
\left(\left(5^{2}\right)^{3}\right)^{2}
(
(
5
2
)
3
)
2
Get tutor help
what is the integral of
x
2
log
(
x
)
\frac{x^2}{\log(x)}
l
o
g
(
x
)
x
2
Get tutor help
Integrate
∫
cos
3
x
d
x
\int \cos ^{3} x d x
∫
cos
3
x
d
x
Get tutor help
∫
sin
5
x
cos
5
x
d
x
\int \sin ^{5} x \cos ^{5} x d x
∫
sin
5
x
cos
5
x
d
x
Get tutor help
Write in exponential notation:
\newline
(
2
a
2
)
4
(2a^{2})^{4}
(
2
a
2
)
4
Get tutor help
Write in exponential notation:
\newline
(
3
a
2
b
)
4
(3a^{2}b)^{4}
(
3
a
2
b
)
4
Get tutor help
In each of the following, express
y
y
y
in terms of
x
x
x
\newline
30
30
30
.
log
x
+
log
y
=
log
(
1
x
)
\log x+\log y=\log \left(\frac{1}{x}\right)
lo
g
x
+
lo
g
y
=
lo
g
(
x
1
)
Get tutor help
∫
sin
3
x
d
x
\int \sin ^{3} x d x
∫
sin
3
x
d
x
=
Get tutor help
What is the value of
log
10
\log \sqrt{10}
lo
g
10
?
\newline
Answer:
Get tutor help
What is the value of
log
8
512
4
\log _{8} \sqrt[4]{512}
lo
g
8
4
512
?
\newline
Answer:
Get tutor help
Write in standard form:
\newline
5
×
1
0
1
5 \times 10^{1}
5
×
1
0
1
Get tutor help
Write in standard form:
\newline
2
×
1
0
6
2 \times 10^{6}
2
×
1
0
6
Get tutor help
Write in standard form:
\newline
3
×
1
0
2
3 \times 10^{2}
3
×
1
0
2
Get tutor help
Write in standard form:
\newline
7
×
1
0
0
7 \times 10^{0}
7
×
1
0
0
Get tutor help
Expand each logarithm
\newline
71
71
71
)
log
x
3
\log x^{3}
lo
g
x
3
Get tutor help
∫
x
2
d
x
\int x^{2}dx
∫
x
2
d
x
Get tutor help
∫
sin
2
x
cos
2
x
d
x
\int \sin^{2}x \cos^{2}x \, dx
∫
sin
2
x
cos
2
x
d
x
Get tutor help
what is
log
(
10
)
\log(10)
lo
g
(
10
)
Get tutor help
∫
e
5
x
d
x
\int e^{5x} \, dx
∫
e
5
x
d
x
Get tutor help
∫
3
x
2
5
d
x
\int 3\sqrt[5]{x^{2}}\,dx
∫
3
5
x
2
d
x
Get tutor help
Simplify
e
2
ln
4
−
3
e^{2 \ln 4-3}
e
2
l
n
4
−
3
and write without any logarithms.
\newline
Answer:
Get tutor help
Expand the logarithm. Assume all expressions exist and are well-defined.
\newline
Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.
\newline
log
(
w
2
)
\log(w^2)
lo
g
(
w
2
)
\newline
_____
Get tutor help