Searching Model with Many to Many Polymorphic Relation

Following the tags example in the Laravel docs, I've successfully implemented image tagging, and now I'm trying to search by said tags.

Pulling an image from a single tag works well, but I'm hitting a roadblock when trying to search for images containing multiple tags.

This is the closest I've gotten, and it works as expected but it is not what I desire.

/**
* $tag string, example: 'baseball'
* $tags array, example: ['baseball','stadium','new.york.yankees']
*/
Image::whereHas('tags', function($query) use ($tag,$tags) {
    if (count($tags)) {
        // Retrieves images tagged as 'baseball' OR 'stadium' OR 'new.york.yankees'
        // Instead, I want it to retrieve images that have all three tags
        $query->whereIn('tag', $tags);

        // The following returns no results, though there are images tagged correctly.
        // I presume this is an incorrect approach.
        foreach ($tags as $tag) {
            $query->where('tag', '=', $tag);
        }
    } else {
        // Retrieves images tagged as 'baseball'
        $query->where('tag', '=', $tag);
    }
})->orderBy('created_at', 'desc')
->paginate(config('app.images_per_page'))

I'm stumped, overtired, and getting nowhere while searching for similar examples. What am I missing? What is the correct terminology for what I am trying to achieve, so I can add it to my vocabulary for future endeavors?

via Chebli Mohamed