Inverse of Logs and Exponentials

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)

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01

log₉(10)-log₉(x-3) =log₉(72)

• 81/16

• 113/36

• No Solution

• 92/15

Logarithms and Exponentials are what?

• parallel

• perpendiular 

• inverses

• congurent

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

find the asymptote: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1