Math Recovery Work - Grade 11 Term 3

Which expression is equivalent to 4 log₂ 9?

• log₂ (4/9)

• log₂ (9/4)

• log₂ 4⁹

• log₂ 9⁴

Which expression is equivalent to log₂ 2 + log₂ 3?

• log₂ 5

• log₂ 6

• log₂ 2³

• log₂ 3²

Which expression is equivalent to log₈ 8 – log₈ 2?

• log₈ 2⁸

• log₈ 8²

• log₈ 4

• log₈ 6

Which expression is equivalent to log₃ 3 / log₃ 8?

• log₃ 3

• log₃ 8

• log₈ 3

• log₃ (8/3)

Which expression is equivalent to 7 ln 4 – 2 ln 7?

• ln 2

• ln 14

• ln (4⁷/7²)

• ln (7²/4⁷)

Which equation shows ln P = ln 50 – t/250 solved for t?

• t = ln (50/P) – 250

• t = ln (P/50) – 250

• t = 250 ln (P/50)

• t = 250 ln (50/P)

• r = -ln(3/5)/t

• r = –ln(3/2)/t

• r = ln(1.5)/t

• r = –ln(6.0)/t

A scientist studies a strain of bacteria. The population of the bacteria doubles every 4 hours. If there are 800 bacteria after 8 hours, how long will it take until there are 52,428,800 bacteria?

• 3 days

• 16 days

• 18 days

• 64 days

Paper subscriptions of a newspaper have been declining at an annual rate of 7%. If there are currently 125,000 paper subscriptions for the newspaper, how long ago, to the nearest tenth of a year, were there 193,200 paper subscriptions?

• 0.6 year

• 0.7 year

• 6.0 years

• 6.4 years

11. Giant salvinia is an invasive aquatic plant. Given the right conditions, a giant salvinia population can double every 7 days. Consider an initial population of just 25 giant salvinia plants.
Which of the following functions gives the population P of giant salvinia plants at time t (in days)?

• P(t) = 25 × t/7