What is the value of Y in this equation?

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The equation presented is 2.0 E -4/2.56 E -2 = 0.10^2/0.40^2 * 0.10^Y/0.20^Y, which simplifies to 1/128 = 2^(-Y)/16. After further simplification, it leads to the conclusion that 1/8 = 2^(-Y), resulting in 8 = 2^Y. The consensus among participants is that Y equals 3. The discussion highlights the importance of careful simplification in solving equations.
Mag
2.0 E -4/2.56 E -2 = 0.10squared/0.40squared * 0.10to the Ypower/0.20 to the Ypower

solve for Y


I get 4
 
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I have no idea what you wrote.
 
Is this what you mean ?

\frac {0.0002} {0.0256} = \frac {(0.1)^2} {(0.4)^2} \frac {(0.1)^Y} {(0.2)^Y}
 
If so, then Y=3.
 
2.0E-4/2.56E-2 = (0.1^2/0.4^2) * (0.1^x/0.2^x)

x = 3

Looks like you just made a small mistake somwhere.
*Nico
 
It all simplifies to 1/128=[2^(-y)]/16, and then 1/8=2^(-y), and further 8=2^y.

Thus I agree with Nico, y=3.


~Rashad
 
Yes Gokul that is what I was trying to type. Thanks for all the help guys.
 
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