Unit 4 Overview Review

3^{2x – 6} = 3¹²

• x = 18

• x = 9

• x = 8

• x = 3

log₂(8) = log₂(2x)

• x = 3

• x = 2

• x = 6

• x = 4

log₂2x = 3

• x = 4

• x = 3

• x = 1/4

• x = 1/3

3^{x – 6} = 81

• x = log₃(81) + 6

• x = log₃(3) + 6

• x = log₃(81) - 6

• x = log₃(81)

Condense the following expression.

2log x + 3log y - 5log z

• log (x²y³ / z⁵)

• log (2x3y / 5z)

• log (x² + y³ - z⁵)

• log (xy / z)

Expand the following expression.

log x⁵y²z⁴

• 5log x + 2log y + 4log z

• log x⁵ + log y² + log z⁴

• log x⁵ * log y² * log z⁴

• log x⁵ + y² + z⁴

Find the asymptote: y = log (x+3) - 5

• x = -3

• x = 3

• y = -5

• y = 5

Find the asymptote: y = 10^x+2 + 6

• x = -2

• x = 2

• y = -6

• y = 6

What are the transformations in f(x)=log(x+5)-6 ?

• Right 5 Units, Down 6 Units

• Right 5 Units, Up 6 Units

• Left 5 Units, Down 6 Units

• Left 5 Units, Up 6 Units

What are the transformations on the function f(x) = 5^x-2 + 3?

• Left2 Units, Down 3 Units

• Left 2 Units, Up 3 Units

• Right 2 Units, Down 3 Units

• Right 2 Units, Up 3 Units