Question

2(x+1)+2^(x)/2^(x-1)-2^(x)=3\2 prove

Answer 1

2(x+1)+2^(x)/2^(x-1)-2^(x)=3\2 prove

2 (x + 1) + $\frac{2^{x} }{2^{x-1} - 2^{x} }$ = 3/2

2 (x + 1) + $\frac{2^{x} }{2^{x} (1/2 - 1)}$ = 3/2

2 (x + 1) + $\frac{1}{\frac{1-2}{2} }$ = 3/2

2 (x + 1) - 2 = 3/2

2 (x + 1) -2  = 3/2

2x + 2 -2 =3/2

2x = 3/2

x = 3/4

As we can see this equation can not be proved. But by using value of x we can find solutions of the given equation.

Know More

Q.1. - Prove that 2^x-1 +2^x ÷2^x+1 - 2^x=3\2

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Q.2. - Prove that 2^x+1 + 2^x/2^x-1 + 2x = 3/2​

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Answer 2

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