Properties of Logarithmic Functions

Expand log₂ (8⁶⋅3)².

• 36 + 2log₂ 3

• 36 - 2log₂ 3

• 6 - 12log₂ 3

• 6log₂ 5 +1

Condense the expression, 4log₅ 7 + 24log₅ 2 to a single logarithm.

• log₅ (2²⁴⋅7⁴)

• log₅ (14⋅11⁶)

• log₅ (2⁴⋅7⁶)

• log₅ (2⁴⋅7²⁴)

Condense the expression, log₇ c + (log₇ a)/2 + (log₇ b)/2 to a single logarithm.

• log₇ (bac⁶)

• log₇ (b³⋅a¹⁸)

Solve the equation: log₁₈ (p² + 3p) = log₁₈ (14 - 2p).

• {7}

• {2}

• {-7,2}

• {3,2}

Solve the equation: 8log 10x = 8.

• {26}

• {1}

• {-1/48}

• {10}

Expand log₂(uv⁵)³.

• 5log₂ u + 3log₂ v

• (1/3)log₂ u + (1/3)log₂ v + (1/3)log₂ w

• 3log₂ u - 15log₂ v

• 3log₂ u + 15log₂ v

Solve the equation: log (-8m + 2) = log (m² - 18).

• {2}

• {-10,1}

• {3,-9}

• {-10}

Solve the equation: 9log₁₂ (x + 6) = 0.

• {17/8}

• {-49/9}

• {-5}

• {20740}

Solve the equation: 5log₂ (-10m + 9) + 4 = -6.

• {49/3}

• {7/8}

• {-47/56}

• {19/18}

Solve the equation: 8log₆ (-2n - 5) + 8 = -8.

• {-98/33}

• {11/3}

• {1/3}

• {-181/72}