yoursmineours
yoursmineours yoursmineours
  • 13-08-2020
  • Mathematics
contestada

solve for x: 7^2x+3 =2401 . show substitution of your solution to verify the equation. show steps. show work.

Respuesta :

martin58853 martin58853
  • 18-08-2020

Answer:

X= 1/2

Step-by-step explanation:

7^2x+3 =2401

7^(2x+3 )=2401

7^(2x+3 )= 7^4

Taking away the base because its equal to 7

Then solving the power as an equation

2x+3= 4

2x= 4-3

2x= 1

X=1/2

Now substituting x into the equation to know if we are correct

7^(2x+3 )=2401

Where x= 1/2

7^(2*(1/2) +3)= 7^4

7^(1+3)= 7^4

7^4= 7^4

7^4= 2401

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