Convert from Logarithmic to Exponential Form

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₂₈₉ 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289¹⁷ = 1/2

• 1/2¹⁷ = 289

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 Log(1000) = 3 to an exponent

• 1000³ = 10

• 10³ = 1000

• 3¹⁰ = 1000

• 3¹⁰⁰⁰ = y

Tags

CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₃ 81 = 4

• 81³ = 4

• 81⁴ = 3

• 3⁴ = 81

• 4³ =81

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

Rewrite in exponential form:

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₂ 0.25 = -2

• -2² = 0.25

• -2^0.25 = 2

• 2^-2 = 0.25

• No correct answer

Tags

CCSS.HSF.BF.B.5