Exams

log 27 = 1.431
log33 = 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log(32)= 2 log 3 = (2 x 0.477) = 0.954

The aim of a group or party must be

• The mission or purpose of the group - what business they are in.

• The vision or direction they are headed - often expressed as the impact they want to have distinct from their purpose. 

• The strategies for how they will get from where they are today to where they are headed; these are broadly stated, like a 50,000-foot overview, and are typically few in number, usually no more than 3-5 key areas of focus. 

• The goals and objectives for how the strategies will be implemented; these are sometimes referred to as tactics or operational plans; there is usually no specific limit on the number of these, and they are more specific and not so far out in the future, often 1-2 years or less.

Lethargic means "sluggish", kind of inactive

Vital means full of energy, lively

So, they are antonyms.

So, for the 2nd part of the analogy, you are looking for a antonym to trite

Trite means lacking originality or freshness. Overused. Kind of like a cliche

So, an antonym could be original, unique, innovative.