READ_ONLY_ACCESS
[
  {
    "id": "maths1-w06-000",
    "front": "Definition of $\\log_b(x) = y$",
    "back": "$b^y = x$ ($x > 0, b > 0, b \\neq 1$)"
  },
  {
    "id": "maths1-w06-001",
    "front": "Product rule for logarithms: $\\log_b(xy)$",
    "back": "$\\log_b(x) + \\log_b(y)$"
  },
  {
    "id": "maths1-w06-002",
    "front": "Quotient rule for logarithms: $\\log_b(x/y)$",
    "back": "$\\log_b(x) - \\log_b(y)$"
  },
  {
    "id": "maths1-w06-003",
    "front": "Power rule for logarithms: $\\log_b(x^k)$",
    "back": "$k \\log_b(x)$"
  },
  {
    "id": "maths1-w06-004",
    "front": "Change of base formula for $\\log_b(a)$",
    "back": "$\\frac{\\ln(a)}{\\ln(b)} = \\frac{\\log_{10}(a)}{\\log_{10}(b)}$"
  },
  {
    "id": "maths1-w06-005",
    "front": "Natural logarithm $\\ln(x)$ base",
    "back": "Base $e \\approx 2.71828$"
  },
  {
    "id": "maths1-w06-006",
    "front": "Dangerous trap when solving log equations",
    "back": "Must check for extraneous roots (log argument must be $> 0$)"
  }
]