Exponential/Logarithmic Review

Evaluate:

log₄(64) = x

• x=16

• x=3

• x=10

• x=8

Tags

CCSS.HSF.BF.B.5

log₃81 = x

• x=2

• x=3

• x=4

• x=5

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Tags

CCSS.HSF.BF.B.5

Write as a single logarithm.

16 log u +4 log v

• log(v⁴u¹⁶)

• log(v⁴u⁴)

• log(vuw⁴)

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

The common logarithm has what base?

• 10
• 0
• e
• -e

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Tags

CCSS.HSF.BF.B.5

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3