Plus, minus, multiply, divide, and exponentiation all have symbols in math (+, -, *, /, ^ ) . But why isn't there the missing log symbol too? Here's how it would work:
4 ^ 5 = 1024 (as is standard for exponentiation)
1024 _ 4 = 5 ("_" is the new log operator!)
Look how much more elegant <1> is compared to <2>, <3> or <4>. We shouldn't need to do those 'hacks' to express the same thing:
1: 1024 _ 4 = 5
2: log(1024)/log(4) = 5
3: LogBase(1024,4) = 5
4: log4(1024) = 5
NB: It doesn't have to be an underscore symbol. It's just the first thing that sprang to mind.
Having a binary log operator would be useful for visually parsing the sum due to its conciseness. Additionally, using root symbols (for exponentiation's other inverse) eats up vertical space, and I think there's value in being able to express a sum on a single line. It's also easier to copy and paste a single line for use elsewhere when we use standard text symbols that are available on a keyboard.