Converting Logs to Exponents

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

Tags

CCSS.HSF.BF.B.5

Convert Log₂(64) = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

Tags

CCSS.HSF.BF.B.5

Convert Log₃(x) = 4 to an exponent

• 3^x = 4

• 3⁴ = x

• x³ = 4

• 4^x = 3

Tags

CCSS.HSF.BF.B.5

Convert Log_a(100) = 2 to an exponent

• 100² = a

• 2^a = 100

• a² = 100

• a¹⁰⁰ = 2

Tags

CCSS.HSF.BF.B.5

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

log(x+6) = 1

• 4
• 4.222
• -5
• -9.550

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSF.BF.B.5