Log Function Review

Find the domain and range of:
f(x) = ln(x)

• D: all real numbers
  R: y > 0

• Domain: all real numbers
  Range: all real numbers

• Domain: x > 0
  Range: all real numbers

• Domain: all real numbers
  Range: y < 0

Describe the transformations of f(x)= -log₂(x+1)

• left one & y-axis reflection

• right one & y-axis reflection

• left one & x-axis reflection

• right one & x-axis reflection

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

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

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Tags

CCSS.HSF.BF.B.5

Describe domain of the function: y=log₂(x+5)

• (-∞,∞)

• (-5,∞)

• (-5,5)

• (∞, -5)

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5