Exponential Equations and Logs

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

Tags

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSF.LE.A.4

2 * 4^{3x – 6} – 8 = 120

• x = 3

• x = 4

• x = 2.9

• x = 8

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Tags

CCSS.HSF.BF.B.5

log₅ (2x - 3)² = 6

• x = 128

•  x = 64

• x = 4

• x = 14

Solve the equation for x.

• 22.198

• e

• 1.131

• 21.66

Tags

CCSS.HSF.BF.B.5