Сан логарифмі және оның қасиеттері. Алгебра, 11 сынып, қосымша материал. 3 сабақ.

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Algebra II - Worksheet 7.4 A

Properties of Logs

Write each equation in logarithmic form.

Evaluate the expression.Hint—set = x and solve for x.

7.log₂ 88.log₈ 649.log₆ 21610.log₇ 7

15.log₅ 516.log₉ 317.log₂ 1618.log_1/2 16

Solve for x.

19.log6 x = 2

20.log5 x = 3

21.log16 x = -1

22.log9 x = 2

23.log_1/4 x = -224.log_x 64 = 325.log_x 8 = - 1

Expand the expression using the properties of logs. The word log will be used repeatedly in each problem.

Condense the expression using the properties of logs. The word log will be used once in each problem.

32.log₃ 7- log₃ x33.2 log₅ x + log₅ 3

34.log₄ 5 + log₄ x + log₄ y35.3 log₁₀ x – log₁₀ 4

36.2 log₂ x – 3 log₂ y37.log₃ 4 + 2 log₃ x – log₃ 5

38.log₂ x – 2 log_s y39.3log_a 2 +log_a 6 – 2 log_a 4

Condense the left side of the equation, then solve for x.

40.2 log₄ 3 = log₄ x41.log₁₀ x + log ₁₀ 3 = log₁₀ 1242.log₃ 5 – log₃ x = log₃ 2

43.2 log₃ 2= log₃ x44.3 log₁₀ x = log₁₀ 2745.3 log₅ 2 + log₅ x = log₅ 24