Question

Solve the exponential equation: 4x – 2 = 1∕4

A) x = 2
B) x = –1
C) x = 1
D) x = –2

Answer 1

Depends on which equation is meant by "4x – 2 = 1∕4."

Probably the second option below, since the result matches the answer options B and C.

Explanation:

As written, 4x – 2 = 1∕4 is NOT an exponential equation.

4x – 2 = 1∕4

4x = 2 +1∕4

4x = (9/4)

x = 9

There are no answer option that match this value.

Was it supposed to be 4x^( – 2) = 1∕4 ??

4x^( – 2) = 1∕4

1/(4x^2) = 1∕4

4x^2 =4

x^2 = 1

x = ± 1

Options B and C match x = ± 1