Question

Find the value of (2^a/2^b)^a+b.(2^b/2^c)^c+b.(2^c/2^a)^a+c

Answer 1

Answer:

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Step-by-step explanation:

a

2

+b

2

+c

2

=2(a+2b−2c)−9

a

2

−2a+b

2

−4b+c

2

+4c+9=0

a

2

−2(a)(1)+(1)

2

+b

2

−2(b)(2)+(2)

2

+c

2

+2(c)(2)+(2)

2

=0

(a−1)

2

+(b−2)

2

+(c+2)

2

=0

⟹a=1,b=2,c=−2

a+b+c=1+2−2=1