$\log_{4}\left(x\right)=3$

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Final answer to the problem

$x=64$
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1

Express the numbers in the equation as logarithms of base $4$

$\log_{4}\left(x\right)=\log_{4}\left(4^{3}\right)$

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$\log_{4}\left(x\right)=\log_{4}\left(4^{3}\right)$

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Learn how to solve problems step by step online. log4(x)=3. Express the numbers in the equation as logarithms of base 4. Apply the formula: \log_{a}\left(x\right)=\log_{a}\left(y\right)\to x=y, where a=4 and y=4^{3}. Apply the formula: a^b=a^b, where a=4, b=3 and a^b=4^{3}. section:Verify that the solutions obtained are valid in the initial equation.

Final answer to the problem

$x=64$

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Function Plot

Plotting: $\log_{4}\left(x\right)-3$

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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
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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