Logs Condense and Expand

Expand log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

Which of the following illustrates the Quotient Property of Logarithms

• log₄(x ÷ y) = log₄(x) - log₄(y)

• log₄(x ÷ y) = log₄(x) ÷ log₄(y)

• log₄(x - y) = log₄(x) ÷ log₄(y)

Which of the following illustrates the Power Property of Logarithms

• log₅(m)ⁿ = n + log₅(m)

• log₅(m)ⁿ = n ⋅ log₅(m)

• log₅(m)ⁿ = log₅(n ⋅ m)

• log9+log4

• log(9-4)

• log9-log4

• 4log9

Which of the following illustrates the Product Property of Logarithms

• log₃(x) ⋅ log₃(y) = log₃(x+y)

• log₃(x) ⋅ log₃(y) = log₃(xy)

• log₃(x) + log₃(y) = log₃(xy)

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Expand: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4