Expand the logarithmic expression $\log_{4}\left(\frac{1}{64}\right)$

Step-by-step Solution

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Final answer to the problem

$-3$
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Step-by-step Solution

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1

Apply the formula: $\log_{b}\left(\frac{x}{y}\right)$$=\log_{b}\left(x\right)-\log_{b}\left(y\right)$, where $b=4$, $x=1$ and $y=64$

$\log_{4}\left(1\right)-\log_{4}\left(64\right)$

Learn how to solve espansione dei logaritmi problems step by step online.

$\log_{4}\left(1\right)-\log_{4}\left(64\right)$

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Learn how to solve espansione dei logaritmi problems step by step online. Expand the logarithmic expression log4(1/64). Apply the formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), where b=4, x=1 and y=64. Apply the formula: \log_{a}\left(b\right)=logf\left(b,a\right), where a=4, b=1 and a,b=4,1. Apply the formula: x+0=x, where x=-\log_{4}\left(64\right). Apply the formula: \log_{b}\left(x\right)=\log_{b}\left(pfgg\left(x,b\right)\right), where b=4 and x=64.

Final answer to the problem

$-3$

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Plotting: $-3$

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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
Dx
|◻|
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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