1.

Find the value of x : 2^x +2^5 =(2^3)^x​

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\large\fbox\red{Answer}

{2}^{x}  +  {2}^{5}  =  {( {2}^{3} )}^{x}  \\  \\  =  >  {2}^{x + 5}  =  {2}^{3x}  \\  \\   = > x + 5 = 3x \\  \\  =  > x - 3x + 5 = 0 \\  \\  =  >  - 2x + 5 = 0 \\  \\  =  >  - 2x =  - 5 \\  \\  =  > 2x = 5 \\  \\  =  > x =  \frac{5}{2}  \\  \\  =  > x = 2.5



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