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Delicious77 [7]
3 years ago
9

Prove that x=2 if 4^x=8x...where ^ stands for "to the power of".

Mathematics
1 answer:
Romashka [77]3 years ago
4 0
In order to prove this, you simply plug in the number 2 everywhere you see X:

4^(2) = 8(2). 

Simplify

16 = 16 √

Since this checks out, x is proven to be 2.
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Step-by-step explanation:

Given equation is \frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

Factor denominators then solve by making denominators equal

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

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\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

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