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Algebra Baldor
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Find the logarithm of $729$ to the base $3$

Step-by-step Solution

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Solution

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Final answer to the problem

$6$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Write in simplest form
  • Prime Factor Decomposition
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Load more...
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1

Decompose $729$ in it's prime factors

Learn how to solve properties of logarithms problems step by step online.

$\log_{3}\left(3^{6}\right)$

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Unlock the first 3 steps of this solution

Learn how to solve properties of logarithms problems step by step online. Find the logarithm of 729 to the base 3. Decompose 729 in it's prime factors. Use the following rule for logarithms: \log_b(b^k)=k.

Final answer to the problem

$6$

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Function Plot

Plotting: $6$

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Got a different answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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Main Topic: Properties of Logarithms

They are properties that can help us simplify expressions with logarithms.

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