We need to find x if 7^(3x-5) = 7^-2

7^(3x-5) = 7^-2

as the exponent 7 is common we can equate the exponent

=> 3x - 5 = -2

=> 3x = 5 - 2

=> 3x = 3

=> x = 3/3

=> x = 1

**The solution is x = 1.**

We need to find x if 7^(3x-5) = 7^-2

7^(3x-5) = 7^-2

as the exponent 7 is common we can equate the exponent

=> 3x - 5 = -2

=> 3x = 5 - 2

=> 3x = 3

=> x = 3/3

=> x = 1

**The solution is x = 1.**