Chemistry - Synthesising Complex Aromatic Compound
Solution 1:
An alternative approach might be something like this. The tertiary alcohol product with two identical groups suggests that a Grignard reaction with an ester might be a useful step.
Solution 2:
You'll obviously need meta-directors, so convert those methyl groups into a different function.
I'd start with a benzylic oxidation to get benzoic acid, and work some Friedels-Craft acylation magic.
Then you can reduce the resulting ketone and chlorinate, and go at an acylation again.
Finally a DIBAL and then Wolf-Kichner Reduction to get rid of your carbonyls.
Probably you need to flesh this out some.