The origin of the Dodgers started back in 1912 when the then Brooklyn team started calling themselves as the "Brooklyn Trolley Dodgers" something that happened in Brooklyn at the time. The name was shortened in 1932 to just the "Dodgers." The Dodgers started with the typical letter "B" logo till 1938, when the wordmark "Dodgers" was created and is still used today. The final logo is the wordmark within a diamond shape orange background.
1945 - 1957
Scripted wordmark “Dodgers” in blue
in front of a red flying baseball with streaks.
1938 - 1944
Slanted scripted wordmark “Dodgers” in blue with an underscore.
This is the last logo with a letter for the Dodgers. A block letter “B” in green.
1932 - 1936
The Dodgers switched back to the font that is similar to Bruce Double Pica and the royal blue with a triangle in the middle of the letter “B.”
1912 - 1913
The corners of the baseball field are connected, the logo was a little bigger, and the team was now called the Brooklyn Dodgers, eliminating the name “Trolley.”
Todd Radom Design: Why the Los Angeles Dodgers Were Not the Brooklyn Canaries
In 1931 the Brooklyn Robins had a dilemma. Their very identity was at stake. The Robins—Brooklyn's entry in the National League—were called what they were in honor of manager Wilbert Robinson, who took the helm as skipper in 1914. Their 1931 uniforms featured a "B"—appropriately rendered in robin's-egg blue. His retirement at the conclusion of the 1931 season provided a fresh opportunity for the franchise to rebrand itself for a new era. Robinson's departure spurred a movement to rename the team, variously called Bridegrooms, Superbas, and Dodgers since their NL inception in 1890. Read More...
The team logo carried over from the logo in 1910, as the team was now called the Brooklyn Trolley Dodgers.