$\log_{x}\left(\frac{1}{8}\right)=-3$

Step-by-step Solution

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Final answer to the problem

$x=2$
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Step-by-step Solution

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Apply the formula: $\log_{a}\left(x\right)$$=\frac{\log \left(x\right)}{\log \left(a\right)}$, where $a=x$ and $x=\frac{1}{8}$

$\frac{\log \left(\frac{1}{8}\right)}{\log \left(x\right)}=-3$

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

$\frac{\log \left(\frac{1}{8}\right)}{\log \left(x\right)}=-3$

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Learn how to solve equations logarithmiques problems step by step online. logx(1/8)=-3. Apply the formula: \log_{a}\left(x\right)=\frac{\log \left(x\right)}{\log \left(a\right)}, where a=x and x=\frac{1}{8}. Apply the formula: \frac{a}{x}=b\to \frac{x}{a}=\frac{1}{b}, where a=\log \left(\frac{1}{8}\right), b=-3 and x=\log \left(x\right). Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=\log \left(x\right), b=\log \left(\frac{1}{8}\right), c=1 and f=-3. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=-3 and b=10.

Final answer to the problem

$x=2$

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Function Plot

Plotting: $\log_{x}\left(\frac{1}{8}\right)+3$

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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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