Solve the equation with radicals $y=ce^{-x^{-1}}$

Step-by-step Solution

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Final answer to the problem

$x=\frac{-1}{\ln\left(\frac{y}{c}\right)}$
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Step-by-step Solution

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  • Solve for c
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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$y=ce^{\frac{-1}{x}}$

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$y=ce^{\frac{-1}{x}}$

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Learn how to solve problems step by step online. Solve the equation with radicals y=ce^(-x^(-1)). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Rearrange the equation. Divide both sides of the equation by c. We can take out the unknown from the exponent by applying natural logarithm to both sides of the equation.

Final answer to the problem

$x=\frac{-1}{\ln\left(\frac{y}{c}\right)}$

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Function Plot

Plotting: $y-ce^{-x^{-1}}$

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Go!
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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