Final answer:
A mutation in the inducer-binding site of the LacI repressor would have a similar effect to a mutation preventing the repressor from binding to the operator, leading to continuous expression of the lac operon.
Step-by-step explanation:
The mutation expected to have a similar effect to a mutation in which the LacI repressor is no longer able to bind to the operator is a mutation in the inducer-binding site of the repressor. Both of these mutations would result in the lac operon being expressed continuously because nothing is preventing transcription. A mutation in the inducer-binding site would prevent allolactose (the inducer) from binding to the repressor and causing it to release from the operator, which would have a similar outcome to the repressor not being able to bind to the operator in the first place.. If there is a mutation in the promoter sequence, RNA polymerase may not be able to attach properly, resulting in decreased or no transcription of the lac operon.