M4 Unit 3 Logs Review

Solve 5^x=20 to the third decimal place

• 0.537

• 2.996

• 1.301

• 1.861

Condense to a single log:

log₂x - 5log₂y

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Solve 4^{3x + 5} = 16

• -5/3

• -1

• -3/2

• 2/3

Solve log₂ (2 - 2x) + log₂ (1 - x) = 5

• 4

• 5

• -2

• -3

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Solve 2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684

Solve log₂ (x² - 1) = 3 + log₂ (x - 1)

• 4

• 2

• 1

• 7

Find the time required for an investment of $1000 to grow to $5000 at an interest rate of 8% per year compounded monthly. (round to nearest year)

• 1 year
• 242 years
• 20 years
• 13 years

Solve ln (x - 2) - ln (3x) = 0

• -1

• 2

• e

• e⁵

Solve 8 ^. 3^x = 5

• 0.506

• 2.337

• -0.516

• -0.428