Exponents and Logarithm

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

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Rewrite the exponential equation into its logarithmic equation; x⁶=64

• log₆x=64

• log6=64

• log₆64=x

• log_x64=6

Tags

CCSS.HSF.BF.B.5

Solve for x
5^x = 17

• x = log₁₇5

• x = log 5 + log 17

• x = log₅17

• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10

• 0

• e

• -e

Evaluate log₄1

• 1

• 0

• 4

• undefined

Evaluate.
3 log₂4

• 3

• 6

• 2

• 4

State the property (s) used to simplify the expression

• Product Property

• Quotient Property

• Power Property

• Product and Power Property

Tags

CCSS.8.EE.A.1

Evaluate.
log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

Tags

CCSS.HSF.BF.B.5