Understanding Inverses of Exponential Functions

What is the primary goal when finding the inverse of an exponential function?

• To graph the function

• To isolate the variable in the exponent

• To switch the x and y variables

• To find the absolute value

When creating a table for the inverse of y = 3^x, what is the first step?

• Calculate the derivative

• Switch x and y values

• Find the absolute value

• Plot the graph

What does the term 'log' signify in the context of solving for the variable in the exponent?

• A type of function

• A method to write an exponential equation

• A pattern in numbers

• A type of graph

In the log puzzle, what does the small number represent?

• The coefficient

• The answer

• The base of the log

• The exponent

What is the result of 2 to the power of 3 in the log puzzle?

• 9

• 8

• 12

• 6

In the context of logarithms, what is the exponent equal to?

• The base

• The log value

• The answer

• The coefficient

What is the equivalent of 100 to the power of 1/2?

• 100

• 50

• 10

• 5

How do you express the inverse of y = 3^x using logarithms?

• y = log base 3 of x

• x = log base 3 of y

• y = 3^x

• x = 3^y

What is the base of the log when converting y = 3^x to its inverse?

• 3

• y

• 2

• x

What is the inverse of y = 2^x expressed in logarithmic form?

• y = 2^x

• x = log base 2 of y

• x = 2^y

• y = log base 2 of x