Math 4 Logarithm Test

Condense each expression to a single logarithm. log₄ a + log₄ b + 4 log₄ c

• log₄ (c⁴√a)

• log₄ (b³a¹²)

• log₄ ³√cba

• log₄ (bac⁴)

Condense each expression to a single logarithm. 6 log₆(2) + 30 log₆(5)

• log₆ (2⁶/5³⁰)

• log₆ (2³⁰/5⁶)

• log₆ (7⁵√2)

• log₆ (5³⁰·2⁶)

Condense each expression to a single logarithm. 18 log₆(5) + 6 log₆(3)

• log₆ (3⁶·5¹⁸)

• log₆ √30

• log₆ 5¹⁸

• log₆ (2√15)

Condense each expression to a single logarithm. 2 log(u) + 4 log(v)

• log (u²/v²)

• log (v⁴u²)

• log ³√vwu

• log (vuv²)

Condense each expression to a single logarithm. 6 log₃(10) – 2 log₃(11)

• log₃ (7√110)

• log₃ (10⁶/11²)

• log₃ (10³/11²)

• log₃ (110·7³)

Condense each expression to a single logarithm. 18 log₃(6) + 6 log₃(11)

• log₃ (11·6¹⁸)

• log₃ (6³/11⁶)

• log₃ (6¹⁸·11⁶)

• log₃ (5³√66)

Condense each expression to a single logarithm. log₅(a) + log₅(b) + 5 log₅(c)

• log₅ (c⁵√ba)

• log₅ ³√cba

• log₅ (bac⁵)

• log₅ (b³⁰/a⁶)

Condense each expression to a single logarithm. 2 log₈(x) + 4 log₈(y)

• log₈ (x⁸/y⁴)

• log₈ (y⁴x²)

• log₈ (x²/y⁴)

• log₈ (z√yx)

Solve each equation. log(x) – log (x + 3) = log(5)

• {15/4, 12}

• {1/33}

• {12}

• No solution.

Solve each equation. log₃ (x – 5) + log₃(5) = 2

• {129}

• {34/5}

• No solution.

• {81/8}