The Republic of Logarithmic Function is a colossal, environmentally stunning nation, renowned for its avowedly heterosexual populace, smutty television, and prohibition of alcohol. The compassionate, cynical, devout population of 5.139 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 68.1%, and even higher for the wealthy.

The all-consuming Logarithmic Functionian economy, worth 306 trillion numbers a year, is quite specialized and led by the Arms Manufacturing industry, with major contributions from Automobile Manufacturing, Furniture Restoration, and Basket Weaving. Black market activity is rampant. State-owned companies are common. Average income is 59,645 numbers, and evenly distributed, with the richest citizens earning only 2.9 times as much as the poorest.

Balaclava manufacturers are held criminally culpable for bank heists, tech-mad citizens think that the laser-powered bread-slicer uPhone App is the coolest thing since sliced bread, schoolchildren are divided over Leader's "Why Tigers are Cooler than Lions" speech, and safety warnings are prohibited lest they give people ideas. 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 81,037^th in the world and 34^th in Empire of Love for Highest Food Quality, scoring 26.73 on the Meeshlin-Starr Index.