Logarithms Without Calculator

Evaluate.
3 log₈2

• ¹/₃

• 3

• 1

• 9

log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

The inverse function of an exponential function is known as a...?

• quadratic function

• square root function

• absolute value function

• logarithmic function

Rewrite the equation into logarithmic form:
6² = 36

• log₆(2)= 36

• log₆(36) = 2

• ln(36) = 2

• 6³⁶ = 2

Rewrite the equation in exponential form:
log₉(1/81) = -2

• ln(-2) = 1/81

• -2^(1/81) = 9

• 9^-2 = 1/81

• 9^(1/81) = -2

Evaluate without a calculator:

log₆1

• 1

• 0

• 6

• undefined

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

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

What is the x-intercept of log₇(x)?

• (0.5, 0)

• (-1, 0)

• (0, 0)

• (1, 0)