Week 13: Review for Flashcard on Exponential vs Logarithmic Equations

Front

What are logarithms and exponentials in relation to each other?

Back

Logarithms and exponentials are inverses of each other.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is y = ab^x, where a is the initial value and b is the base.

Front

How do you convert an exponential equation to logarithmic form?

Back

Front

Back

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

Front

Back

Front

What is the relationship between the graphs of exponential and logarithmic functions?

Back

The graph of an exponential function is increasing, while the graph of a logarithmic function is increasing but at a decreasing rate.

Front

How do you find the inverse of an exponential function?

Back

To find the inverse of an exponential function, switch the x and y variables and solve for y.

Front

What is the equation of the exponential function that passes through the points (0, 4) and (2, 324)?

Back

Front

What does the term 'exponential growth' mean?

Back

Exponential growth refers to an increase that occurs at a rate proportional to the current value, leading to rapid growth.