find x

log_x(x³ - 2x + 1) = 3

This means the same thing as:

x³ = x³ - 2x + 1

Subtract x³ from both sides.

0 = -2x + 1

Subtract 1 from both sides.

-1 = -2x

Divide both sides by 2.

x = 1/2

omg... it was staring me in the face the entire time.... thank you! haha