Exploring Logarithms and Their Functions

What is the inverse of an exponential function called?

• Quadratic function

• Cubic function

• Logarithm

• Linear function

Which axis serves as an asymptote for the logarithmic function?

• z-axis

• y-axis

• None

• x-axis

What is the domain of a logarithmic function?

• Zero and positive real numbers

• All positive real numbers

• All real numbers

• All negative real numbers

What does the equation log base B of X equals Y represent in exponential form?

• B to the power X equals Y

• Y to the power X equals B

• X to the power B equals Y

• B to the power Y equals X

If log base 3 of 27 equals y, what is the value of y?

• 9

• 3

• 27

• 1

How do you convert the logarithmic form 'log base 3 of 9 equals 2' into exponential form?

• 2 squared equals 9

• 9 squared equals 3

• 3 squared equals 9

• 9 squared equals 2

In which form do we write the logarithm when converting from exponential form?

• log base B of X equals Y

• log base X of B equals Y

• log base Y of X equals B

• log base Y of B equals X

What is the result of evaluating log base 10 of 1000?

• 100

• 10

• 3

• 1000

What is the x-intercept of the parent function of a logarithm?

• (0,1)

• (-1,0)

• (0,-1)

• (1,0)

Why can't logarithms take negative numbers or zero?

• They result in undefined values

• They result in negative exponents

• They result in positive numbers

• They result in zero