Property of Logarithms Expands and Condenses

Expand:

• 3log₅7x

• 3log₅x + log₅7

• log₅7 - 3log₅x

• 3log₅x - log₅7

Expand: log₂x⁶

• xlog₂6

• log₂x - log₂6

• log₂x + log₂6

• 6log₂x

Expand: log₅8x

• xlog₅8

• log₅8 + log₅x

• log₅8 - log₅x

• 8log₅x

Expand.

log₄a⁶b⁵

• 6log₄a - 5log₄b

• log₄a + log₄b = 30

• 4log₆a + 4log₅b

• 6log₄a + 5log₄b

• log(abc)

• log(a+b+c)

• log(ab/c)

log₅7 + 2log₅x

• log₅7x²

• log₅7x

• log₅7²x

• log₅7/x²

Condense: log6 + 2logy - 5logx

• log6y²x⁵

Expand completely: log(2x⁵) 

• log 2 + 5log x

• 5log 2 + 5log x

• 5log 2 + log x

• log 10 + log x

• log(30)

• log(5/6)

• log(11)

• log(6/5)