Question

Solve1 over 25 = 5^x ^+ 4. x = -7/2 x = −6 x = 9/2 x = 2

Answer 1

The equation seems to be

   1
-------- = 5 ^ (x + 4)
  25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

          1
=> ----------- = 5^(x + 4)
         5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6