Intro Logarithmic Functions

Rewrite log_pt = m in exponential form.

• p^t = m

• t^m = p

• m^t = p

• p^m = t

Solve for x:
log₅(625)=x.

• 4

• 2

• 3

• 10

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

Evaluate: log₇7⁶

• 1/5

• 6

• 8

• 0

Use multiple log properties to write as a single log:
3log₂x -  log₂y

• log₂(x³/y)

• log₂(x³y)

• log₂(x/y)³

• log₂(3x/y)

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

What is the range of the function graphed?

• (-∞, ∞)

• (-∞, 2] and [2, ∞)

• [2, ∞)

• (-∞, 2]

Which has a vertical asymptote?

• Exponential

• Logarithmic

• Both