Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided

Solve the exponential equation

Solve exponential equation 1/16=64^4x-3

Answer 1

Answer is 7/12, or approx. 0.58333... Answer explained in attached file.

Answer 2

x = 7/12

Explanation:

Solve the exponential problem :

1/16=64^4x-3

1 / 4^2 = 4^3(4x - 3)

4^-2 = 4^3(4x - 3)

-2 = 3(4x - 3)

-2 = 12x - 9

-2 + 9 = 12x

7 = 12x

7/12 = 12x/12

7/12 = x

Hence, x = 7/12