Logarithmic to Exponential

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25
• -2^0.25  = 2
• 2^-2  = 0.25
• No correct answer

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:

log ₂ 8=3

• 8³ = 2

• 3² = 8

• 2³ = 8

• 8² = 3

Change to Exponential Form:

log ₄ 16 = 2

• 16² = 4

• 2⁴ = 16

• 16⁴ = 2

• 4² = 16

Change to Exponential Form:

log ₂₅ 5 = 1/2

• 25⁵ = 1/2

• 25^1/2 = 5

• 5²⁵ = 1/2

• 5^1/2 = 25

Change to Exponential Form:

log _k 13 = 7

• 7^k = 13

• 13^k = 7

• k⁷ = 13

• 7¹³ = k

Change to Exponential Form:

log ₉ 27 = 3/2

• 9²⁷ = 3/2

• 27⁹ = 3/2

• 9 = 27^3/2

• 27 = 9^3/2