Exponential/Logarithmic Function Understanding Key Features

• F
• G
• H
• J

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers

• D: all real numbers
  R: y ≥ 0

• D: x ≥ 2
  R: y ≥ 3

• D: x ≤ 2
  R: y ≤ 3

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

The inverse has been reflected over which line?

• y = -x

• y =x

• y = 0

• y = x + 1

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

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

Suppose a culture of bacteria begins with 500 cells and dies by 30% each year. Write an equation that represents this situation.

• y = 500(0.7)ⁿ

• y = 500(1.3)ⁿ

• y = 500(1.7)ⁿ

• y = 500(1.13)ⁿ