Alg 2. HW 3-12-25. Day 3 Properties of Log and Expon. Equations

• 10
• 20
• 18
• 16

Simplify:

e^ln(5x)

• ln(5x)
• e⁵

• e^5x

• 5x
• 5

Condense / compress:

5ln(x) + 2ln(y)

• ln(x² * y⁵)

• ln(x³ * y)

• ln(x⁵ + y²)

• ln(x⁵ * y²)

Expand

ln(2x³/y⁴)

• ln(2) + 3ln(x) - 4ln(y)
• ln(2) - 3ln(x) + 4ln(y)

• 3ln(2) + ln(x) - ln(y)

Solve

log₃(2x - 7) = log₃(11)

x=

• 11
• 5
• 7
• 9

Solve

ln(3) + ln(x - 3)= ln(24)

x=

• 11

• 15
• 8
• 10

Solve

2 ln(4) + ln(x - 1)= ln(64)

x=

• 6
• 4
• 5
• 8

• log(20)

• ln(64)

• log(25)

• log(5)

• log(1/4)

Evaluate each of the following logs:

Match the following

• 2

• 4

• 1

• 0.5

• -2

Solve the equation:

ln(e)^{5x - 4} = 31

x =

• 5
• 10
• 3
• 7

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4