1.

Solve for x in the above problem​

Answer»

ANSWER:

{2}^{x}  +  {2}^{3x}  = 16 \\   log( {2}^{x} )  +  log {2}^{3x}   =  log(16) \\   x log(2 )  + 3x log(2)  =  log(16) \\  x log(2)  + 3x log(2)  =  log(16)  \\ x( 2 + 3) =(16 ) \\ x(5) = 16 \\ 5x = 16 \\ x = 3.2



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