Question

hw 9.1_log properties i
score: 0/33 answered: 0/12
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question 1
part 1 of 3
0/3 pts 3 2 98 details
exponentials and logarithms are select an answer functions.
select an answer
reciprocal
composite
inverse
multiplicative
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Explanation:

Exponential functions and logarithmic functions are inverse functions. By the definition of inverse functions, if we have an exponential function \( y = a^x \) (where \( a>0,a
eq1 \)), its inverse function is the logarithmic function \( y=\log_a x \) (where \( a>0,a
eq1,x > 0 \)). When we compose an exponential function and its corresponding logarithmic function, we get \( a^{\log_a x}=x \) and \( \log_a(a^x)=x \), which satisfies the property of inverse functions. Reciprocal functions are of the form \( f(x)=\frac{1}{g(x)} \), composite functions are formed by \( f(g(x)) \) where \( f \) and \( g \) are functions, and multiplicative functions have a different definition related to multiplication properties, so the correct relationship between exponentials and logarithms is that they are inverse functions.

Answer:

inverse