$\log_{x}\left(64\right)=3$

Step-by-step Solution

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Final answer to the problem

$x=4$
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Step-by-step Solution

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Apply the formula: $\log_{a}\left(x\right)$$=\frac{\log_{x}\left(x\right)}{\log_{x}\left(a\right)}$, where $a=x$ and $x=64$

$\frac{\log_{64}\left(64\right)}{\log_{64}\left(x\right)}=3$

Learn how to solve equations logarithmiques problems step by step online.

$\frac{\log_{64}\left(64\right)}{\log_{64}\left(x\right)}=3$

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Learn how to solve equations logarithmiques problems step by step online. logx(64)=3. Apply the formula: \log_{a}\left(x\right)=\frac{\log_{x}\left(x\right)}{\log_{x}\left(a\right)}, where a=x and x=64. Apply the formula: \log_{b}\left(b\right)=1, where b=64. Apply the formula: \frac{a}{x}=b\to \frac{x}{a}=\frac{1}{b}, where a=1, b=3 and x=\log_{64}\left(x\right). Apply the formula: \frac{x}{1}=x, where x=\log_{64}\left(x\right).

Final answer to the problem

$x=4$

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Function Plot

Plotting: $\log_{x}\left(64\right)-3$

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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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