What is the answer to (y-2)e^{((-(2))/((y)))}=0 ?

The answer to (y-2)e^{((-(2))/((y)))}=0 is y=2

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(y-2)e^{((-(2))/((y)))}=0

(y - 2) e^{(\frac{- ( 2 )}{( y )})} = 0

y = 2

Solution steps

(y - 2) e^{(\frac{- ( 2 )}{( y )})} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y - 2 = 0 or e^{\frac{- 2}{y}} = 0

Solve

y - 2 = 0 : y = 2

Solve

e^{\frac{- 2}{y}} = 0 :

No Solution for

y \in R

y = 2

2^{(x - 3)} + 2^{(x - 1)} + 2^{x} = 52

4^{y} = 32

2^{x^{2}} = 512

2^{6 x + 12} = 8^{2 x + 4}

2^{x - 2} - 3 \cdot 2^{x} + 8 = 0

What is the answer to (y-2)e^{((-(2))/((y)))}=0 ?
The answer to (y-2)e^{((-(2))/((y)))}=0 is y=2