Question

log property puzzle please I don't understand this at all help help help help help please please please please help help help​

Answer 1

Logarithms have several useful properties that can help simplify expressions and solve equations.

Step-by-step explanation:

Logarithms have several useful properties that can help simplify expressions and solve equations. Here are some key properties:

1. Product Rule: logb(xy) = logb(x) + logb(y)
2. Quotient Rule: logb(x/y) = logb(x) - logb(y)
3. Power Rule: logb(xn) = n * logb(x)
4. Change of Base Formula: logb(x) = loga(x) / loga(b)

These rules can be used to simplify logarithmic expressions, solve equations involving logarithms, or convert logarithms between different bases.

Answer 2

Step-by-step explanation:

The chart doesn’t make much sense. I don’t know why some boxes are complete empty.

Log₃(60) = log₃(6) + log₃(10) = log₃(3) + log₃(20) = log₃(120) - log₃(2) = log₃(240) - log₃(4)

log₇(36) = log₇(18) + log₇(2) = log₇(9) + log₇(4) = log₇(72) - log₇(2) = log₇(144) - log₇(4)

log₆(18) = log₆(9) + log₆(2) = log₆(6) + log₆(3) = log₆(36) - log₆(2) = log₆(54) - log₆(3)

log₂₅(60) = log₂₅(30) + log₂₅(2) = log₂₅(15) + log₂₅(4) = log₂₅(180) - log₂₅(3) = log₂₅(300) - log₂₅(5)

log(40) = log(20) + log(2) = log(8) + log(5) = log(80) - log(2) = log(120) - log(3)