The Republic of Logarithmic Function is a colossal, environmentally stunning nation, notable for its lack of airports, prohibition of alcohol, and punitive income tax rates. The compassionate, cynical, devout population of 5.111 billion Logarithmic Functionians are kept under strict control by the oppressive government, which measures its success by the nation's GDP and refers to individual citizens as "human resources."

The enormous, corrupt government juggles the competing demands of Law & Order, Defense, and Industry. The average income tax rate is 68.6%, and even higher for the wealthy.

The all-consuming Logarithmic Functionian economy, worth 299 trillion numbers a year, is quite specialized and led by the Arms Manufacturing industry, with significant contributions from Furniture Restoration, Automobile Manufacturing, and Basket Weaving. Black market activity is rampant. State-owned companies are common. Average income is 58,636 numbers, and evenly distributed, with the richest citizens earning only 2.9 times as much as the poorest.

Popular cartoon characters frequently appear in government-sponsored PSAs reminding students to say no to drugs, warning signs caution Logarithmic Functionians where they may fall off 'the edge of the world', politicians can't accept birthday presents from their own children, and virtual assistants are seen with increasing suspicion every time they get an upgrade. Crime, especially youth-related, is totally unknown, thanks to the all-pervasive police force and progressive social policies in education and welfare. Logarithmic Function's national animal is the math, which frolics freely in the nation's many lush forests.

Logarithmic Function is ranked 210,390^th in the world and 216^th in Empire of Love for Largest Gambling Industry, scoring -2.84 on the Kelly Criterion Productivity Index.