Logarithms are defined as 'a quantity representing the power to which a fixed number (the base) must be raised to produce a given number' And exponents are defined as 'a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression'
So is it not true that logarithms and exponents the same and logarithmic functions and exponents are inverse of each other?
I decided to flesh out my comment into an answer. This is a good question.
As functions, exponentiation and logarithms are inverse to each other. For instance, if $f(x) = a^x$, and $g(x) = \log_a(x)$, then $f(g(x)) = x$ and $g(f(x)) = x$. (Slight caveat: the $x$ in the first equation must be positive, while the $x$ in the second equation can be any real number).
But exponential and logarithmic equations have the same amount of information in them. That is, $$ a^b = c \text{ exactly when } b = \log_a c $$ Here $a$ and $c$ are positive numbers, while $b$ can be any real number.
In some elementary school curricula they teach fact families. For instance $3+4 = 7$ is in the same family as $4+3=7$, $7-3=4$, and $7-4=3$. If you like, you can say that $a^b =c$ and $b =\log_a c$ belong to the same fact family, like two sides to the same coin.