Question

<br />${2}^{x - 1} + {2}^{x + 1} = 2560 \: solve \: this$<br />
plzz answer this ques worth 50 pts​

Answer 1

hey mate...

Here is your answer..............

given

2^(x-1)+2^(X+1)=2560

(2^x/2)+(2^x*2)=2560            using the law  a^(m*n)=a^m*a^n

                                                                       a^(m/n)=a^m*a^n

2^x[1/2+2]=2560                    taking 2^x common

2^x[5/2]=2560

2^x=[(2560*2)/5]

2^x=1024

2^x=2^10

x=10

hope it helps

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