Hey there :)
㏒₂ (4x) - ㏒₂ (6) = 2
When there is subtraction, we do division
㏒₂ ([tex] \frac{4x}{6} [/tex]) = 2
㏒₂ = 2 is 2²
[tex] \frac{4x}{6} [/tex] = 2²
4x = 4 × 6
4x = 24
[tex] \frac{4x}{4} = \frac{24}{4} [/tex]
x = 6
Check:
㏒₂ (4(6)) - ㏒₂ (6) = 2
㏒₂ ( 24 ) - ㏒₂ ( 6 ) = 2
2 = 2
