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Simplify $\log_{3}\left(\frac{1}{81}\right)$ applying logarithm properties

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Solution

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Final answer to the problem

$-4$
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Learn how to solve properties of logarithms problems step by step online. Simplify log3(1/81) applying logarithm properties. The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Decompose 81 in it's prime factors. Use the following rule for logarithms: \log_b(b^k)=k. Evaluating the logarithm of base 3 of 1.

Final answer to the problem

$-4$

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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

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Similar Problems Solved

$derivdef\left(\ln\left(x\right)\right)$

Main Topic: Properties of Logarithms

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

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