Question

prove that 2^x+1 + 2^x/2^x-1 + 2x = 3/2​

Answer 1

Answer:

Step-by-step explanation:

2^x . 2^1 + 2^x

= ————————

2^x / 2^1 + 2^x

2^x [ 2 + 1 ]

= ——————

2^x [ 1/2 +1]

= 2^x cancel

3

= ———

3/2

= 3 . 2/3

= 2

Answer 2

Prove that $\frac{2^{x + 1} + 2^{x} }{2^{x - 1} + 2^{x} }$ = 3/2

Step-by-step explanation:

To prove,

{2^{x + 1} + 2^{x}/{2^{x - 1} + 2^{x}

= \frac{2^{x} * 2^{1} + 2^{x}  }{2^{x}/2^{1} + 2^{x} }

= $2^{x} (2 + 1) / 2^{x} (1/2 + 1)$

= 3/(3/2)

= 2

Learn more: prove  2^x+1 + 2^x/2^x-1 + 2x = 3/2

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