Question

Find the value of x with solution.

Answer 1

let 2^n = x

x+x+x+x=  256 

4x = 256

x= 256/4 

x= 64

Now,

2^n = 64 

2^n =2^6

if the bases are same, powers are equal 

2^n =2^6

n  =6



i hope this will help you

-by ABHAY

Answer 2

Hey friend,
Here is the answer you were looking for:
${2}^{x} + {2}^{x} + {2}^{x} + {2}^{x} = 256 \\ \\ = {2}^{x} + {2}^{x} + {2}^{x} + {2}^{x} = {2}^{8} \\ \\ x + x + x + x = 8 \\ \\ 4x = 8 \\ \\ x = \frac{8}{4} \\ \\ x = 2$

Hope this helps!!!

@Mahak24

Thanks...
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