Logarithmic Functions

Log with a base "e" (log_e) is the same thing as...

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Tags

CCSS.HSF.BF.B.5

Find the domain and range of:
f(x) = log₂(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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

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 in exponential form. log₇(1/49) = -2

• -2⁷=1/49
• 7²=1/49
• 7^-2=1/49
• 7^1/49=-2

Rewrite the equation in exponential form:
 log_vn = a

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₅(625)

• 4
• 2
• 3
• 10

What is the domain and range of
f(x) = log ₃ (x + 1)?

• D: (− ∞, ∞) R: (−1, ∞)
• D: (− ∞, ∞) R: (1, ∞)
• D: (−1, ∞) R: (− ∞, ∞)
• D: (1, ∞) R: (− ∞, ∞)