The expanded expression is: log₄(2) + 3log₄(x) - 5log₄(y)
How to expand the expression
log₄(2x³ / y⁵)
Use the properties of logarithms to break down the expression into separate terms.
log₄(2x³) - log₄(y⁵)
log₄(2) + log₄(x³) - log₄(y⁵)
This gives us three separate terms.
Then fill in the missing parts:
log₄(2) + 3log₄(x) - 5log₄(y)
Therefore, the expanded expression is:
log₄(2) + 3log₄(x) - 5log₄(y)