logarithmic functions

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

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James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

log₅25 = ?

• 2
• 5
• 125
• 10

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))
• log₂(x³yz)
• log₂(x³z/y)
• log₂(x³/(yz))

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit
• Horizontal shift right one unit
• Vertical shift up one unit
• Vertical shift down one unit

What are the transformations of exponential function from f(x) = 2^x to g(x) = -2^{x + 4} + 3?

• reflect across y-axis

  stretch by 2

  right 4

  up 3

• left 4

  up 3

• reflect across x-axis

  left 4

  up 3

• stretch by 2

  right 4

  up 3