TITLE: What is the $x$ in $\log_b x$ called?
QUESTION [15 upvotes]: In $b^a = x$, $b$ is the base, a is the exponent and $x$ is the result of the operation. But in its logarithm counterpart, $\log_{b}(x) = a$, $b$ is still the base, and $a$ is now the result. What is $x$ called here? The exponent?

REPLY [18 votes]: Another name (that I've only ever seen when someone else asked this question) is "logarithmand".

From page 36 of The Spirit of Mathematical Analysis by Martin Ohm, translated from the German by Alexander John Ellis, 1843: