Inverses with Logs and Exponents

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

A logarithmic function is the inverse of an exponential function. (a)  

• True

• False

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

What is the inverse of f(x)=5^x+3?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

Find the inverse of :

• f(x)^-1 = 7^x-9

• f(x)^-1 = 7^x - 9

• f(x)^-1 = 7^x+9

• f(x)^-1 = 7^x +9

Find the inverse of the equation

• f^-1(x) = 2^(x-9)+5

• f^-1(x) = 2^(x+9)-5

• f^-1(x) = 5^(x-9)-5

Which equation is the inverse of the equation above?

• 
• 
• 
•