The Bonanza Steakhouse logo seems to have been inspired by the television series after which it was named.
The Bonanza Steakhouse chain was established in 1963 by actor Bobby Dan Davis Blocker. He named his chain after the western television series Bonanza, in which he played Eric “Hoss” Cartwright. The TV series started in 1959 and lasted until 1973 becoming NBC’s longest-running western.
By 2019, the number of locations of the Bonanza Steakhouse chain and its sister chain Ponderosa Steakhouse reached 75 (within the US).
The logo is dominated by the word “Bonanza” in red. The type has a pronounced retro touch, with its serifs and the interplay of the bolder and thinner strokes. Interestingly, the shape of the serifs is somewhat similar to the serifs from the type on the posters of the namesake TV series.
The letters look slightly casual as if they have been painted on a rough surface, which also contributes to the western style.
The word “Steakhouse” below uses a plainer and more generic sans. This approach seems reasonable as the letters are small and need a classic type to remain legible.
You could come across older versions of the Bonanza logo, for instance, on the signs above the entrance of the restaurants. While they might have looked different from the current one, they still shared the western-inspired style. One of the older variants, for instance, used a rounded serif type with heavy tops and bottoms.