Unit 5 Review

Solve for x:

2^x = 16

• 4

• 12

• 2

• 8

Solve for x:

log₂(x) = 3

• x = 8

• x = 10

• x = 2

• x = 5

Write the exponential equation for the logarithmic equation log₅(y) = 2

• y = 5²

• y = 5(2)

• y = 2⁵

A scientist is studying the growth of a certain bacteria culture. The population of the bacteria triples every hour. If the initial population was 1, and after certain hours the population reached 81, what is the logarithmic equation that represents this growth?

• log₃(4) = x

• log₃(9) = x

• log₃(81) = x

• log₃(27) = x

Solve for x:

4^x = 64

• x = 3

• x = 6

• x = 4

• x = 5

Solve for x:

ln(x) = 2

• x = e⁰

• x = e³

• x = e²

• x = e¹

Write the exponential equation for the logarithmic equation log₃(z) = 4

• 3⁴ = z

• 3² = z

• 3⁵ = z

• 3³ = z

Imagine you're calculating the population growth of a rare species in a conservation area, and the growth can be modeled by the equation e^x = 10, where x is the number of years. Write the logarithmic equation for this scenario.

• ln(1) = x

• ln(10) = x

• log(10) = x

• log(e) = x

Solve for x:

5^x = 125

• x = 2

• x = 6

• x = 4

• x = 3

Solve for x: log₄(x) = 2

• 16

• 4

• 8

• 12