U15 HW5 Logarithm Properties

Express log₂ 40 - log₂ 5 as a single logarithm.

• log₂ 8

• log₂ 35

• log₂ 45

• log₂ 5

Simplify log 1000 - log 100.

• log 10

• log 900

• log 100

• log 1100

Combine log₄ 8 + 3 log₄ 2 into a single logarithm.

• log₄ 64

• log₄ 16

• log₄ 32

• log₄ 8

Express log a - log ab as a single logarithm.

• -log b

• log b

• log a²

• log a/b

Simplify log 5 + log 10 + log 2.

• log 100

• log 17

• log 50

• log 1

Combine log 6 + log 4x into a single logarithm.

• log 24x

• log 10x

• log 12x

• log 6x

Express log₂ 32 + log₂ 2 as a single logarithm.

• log₂ 64

• log₂ 34

• log₂ 16

• log₂ 30

Simplify log x² - log x - log y.

• log x/y

• log x²y

• log x²/y

• log x/y²

Combine log 2x + log (3x - 7) into a single logarithm.

• log (6x² - 14x)

• log (2x² - 7)

• log (6x² - 7)

• log (2x² + 7)

Simplify 5log x + 3log y - 2log 10.