Question

Which of the following options represents a characteristic of an exponential equation?

An exponent anywhere in the equation.
A constant with an exponent on it.
A variable raised to a power.
An answer that can be written with an exponent.

Answer 1

A constant with an exponent on it is characteristic of an exponential equation.

Answer 2

Answer: The answer is (b) A constant with an exponent on it.

Step-by-step explanation: We are to select the correct statement from the given options that represents a characteristic of an exponential function.

We know that an exponential function is a function of the form

`f(x)=b^x,` where b ≠ 0.

Here 'b' is a constant and the variable 'x' is called an exponent. Also, if b > 0, then the function shows an exponential growth and if b < 0, then the function shows an exponential decay.

Thus, an exponential function involves a constant with an exponent on it.

Thus, (b) is the correct option.