Which is the equation of 2^x - 1 - 7 = 9 after it is reduced so that both sides of the equation are exponential functions with the same base?

A) 2^x-1 = 4^2

B) 2^x-1 - 7^1= 3^2

C) 2^x-1 - 7= 3^2

D) 2^x-1 = 2^4

its D

72 is the answer to this problem

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

answer: your answer is c

step-by-step explanation:

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya