Logarithmic <--> Exponential Forms

Tags

CCSS.HSF.BF.B.5

Tags

CCSS.HSF.BF.B.5

• 2

• 3

• 4

• 5

10⁰ = 1

• log 1 = 0

• log 0 = 1

• log ₀ 10 = 1

• log ₀ 1 = 10

Tags

CCSS.HSF.BF.B.5

10³ = 1000

• log ₁₀₀₀ 3 = 10

• log ₃ 10 = 1000

• log 3 = 1000

• log 1000 = 3

Tags

CCSS.HSF.BF.B.5

b^k = m

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b

Tags

CCSS.HSF.BF.B.5

log 10,000 = 4

• 10⁴ = 10,000

• 4¹⁰ = 10,000

• 10,000⁴ = 10

• 4^10,000 = 10

Tags

CCSS.HSF.BF.B.5

log _k m = n

• m^k = n

• mⁿ = k

• n^m = k

• kⁿ = m

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

log ₃ 9 =

• 1/2

• 2

• 1/3

• 3