Question

exponentials and logarithms are inverse functions. consider the definition of exponential and logarithmic functions: exponential function: $a = b^c$ logarithmic function: $log_b (a) = c$ the variable $a$ is called the select an answer the variable $b$ is called the select an answer the variable $c$ is called the select an answer exponent argument base question help: video submit part

Explanation:

Step1: Analyze variable \( a \)

In the exponential function \( a = b^c \) and logarithmic function \( \log_b(a)=c \), \( a \) is the result of raising \( b \) to the power \( c \) (in exponential) and the value we take the log of (in logarithmic). So \( a \) is the argument.

Step2: Analyze variable \( b \)

In \( a = b^c \), \( b \) is the base of the exponent, and in \( \log_b(a)=c \), \( b \) is the base of the logarithm. So \( b \) is the base.

Step3: Analyze variable \( c \)

In \( a = b^c \), \( c \) is the exponent, and in \( \log_b(a)=c \), \( c \) is the result of the logarithm which relates to the exponent in the exponential form. So \( c \) is the exponent.

Answer:

• The variable \( a \) is called the argument.
• The variable \( b \) is called the base.
• The variable \( c \) is called the exponent.