Basic Log Inverses

Find the inverse function:
f(x) = 5^x

• f ^-1(x) = log₅(x)
• f ^-1(x) = log_x(5)
• f ^-1(x) = 5^x
• f ^-1(x) = x⁵

Find the domain and range of:
f(x) = 5^x

• D: (-∞, ∞)
  R: (0, ∞)
• D: (-∞, ∞)
  R: (-∞, ∞)
• D: (0, ∞)
  R: (-∞, ∞)
• D: (-∞, 0)
  R: (-∞, ∞)

Find the inverse function:
f(x) = log₅(x)

• f ^-1(x) = log₅(x)
• f ^-1(x) = log_x(5)
• f ^-1(x) = 5^x
• f ^-1(x) = x⁵

Find the domain and range of:
f(x) = log₅(x)

• D: (-∞, ∞)
  R: (0, ∞)
• D: (-∞, ∞)
  R: (-∞, ∞)
• D: (0, ∞)
  R: (-∞, ∞)
• D: (-∞, 0)
  R: (-∞, ∞)

Find the inverse function:
f(x) = 2^x

• f ^-1(x) = log₂(x)
• f ^-1(x) = log_x(2)
• f ^-1(x) = 2^x
• f ^-1(x) = x²

Find the domain and range of:
f(x) = 2^x

• D: (-∞, ∞)
  R: (0, ∞)
• D: (-∞, ∞)
  R: (-∞, ∞)
• D: (0, ∞)
  R: (-∞, ∞)
• D: (-∞, 0)
  R: (-∞, ∞)

Find the inverse function:
f(x) = 10^x

• f ^-1(x) = log(x)
• f ^-1(x) = ln(x)
• f ^-1(x) = 10^x
• f ^-1(x) = x¹⁰

Find the domain and range of:
f(x) = 10^x

• D: (-∞, ∞)
  R: (0, ∞)
• D: (-∞, ∞)
  R: (-∞, ∞)
• D: (0, ∞)
  R: (-∞, ∞)
• D: (-∞, 0)
  R: (-∞, ∞)

Find the inverse function:
f(x) = log(x)

• f ^-1(x) = log(x)
• f ^-1(x) = ln(x)
• f ^-1(x) = 10^x
• f ^-1(x) = x¹⁰

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