How do you solve for x if 3x equals 1 over 27?

Answer 1

Given 3x = 1/27 divide both sides by 3:

3x ÷ 3 = 1/27 ÷ 3

→ x = 1/27 ÷ 3/1

→ x = 1/27 × 1/3

→ x = 1/(27×3)

→ x = 1/81

Dividing by 3 is the same as multiplying by the reciprocal of 3, namely 1/3.