Question

details
lesson 7.1 - guess the exponent
completed notes (coming soon)
video tutorial
view submission
7.1 hw - guess the exponent
score: 0/12 answered: 0/12
question 1
exponentials and logarithms are select an answer functions.
select an answer
reciprocal
consider the definition of expon nic functions:
inverse
exponential function: $b^c = a$
composite
logarithmic function: $log_b (a) = $
multiplicative
the variable $a$ is called the argument
the variable $b$ is called the base

Explanation:

Exponential and logarithmic functions are related such that if we have an exponential function \( b^c = a \), the logarithmic function \( \log_b(a)=c \) "undoes" what the exponential function does, and vice versa. This relationship defines them as inverse functions. Reciprocal functions are of the form \( f(x)=\frac{1}{x} \), composite functions are formed by combining two functions (e.g., \( f(g(x)) \)), and multiplicative functions involve multiplication in a different sense (not related to the inverse relationship of exponentials and logs). So the correct term is "inverse".

Answer:

inverse