Question

3^(7−2x) = (1/27)^(−8)
Solve the exponential equation for x

Answer 1

Explanation:

Your first job is to make the bases the same. Once you have done that, you can equate the powers.

(1/27) ^ (1 /- 3) = 3

(1/27)^(1/-3)(24)

3^24 = 3^(7 - 2x)

24 = 7 - 2x Subtract 7 from both sides

17 = -2x Divide by -2

-8.5 = x