Exponential and Logarithmic Functions

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in exponential form.
log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4

• ¹/₄

• -4

• -¹/₄

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

log₅25 = ?

• 2

• 5

• 25

• 125

Tags

CCSS.HSF.BF.B.5

Use multiple log properties to write as a single log:
3log₂x -  log₂y + log₂z

• log₂(x/(yz))

• log₂(x³yz)

• log₂(x³z/y)

• log₂(x³/(yz))

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand completely: log(2x⁵) 

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8