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Alg2 lesson 10-3
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  • 1. (x4)(x7) = x11
    log4 6 = log4 2 + log4 3
  • 2. Find log3 14
    = log3 (2)(7)
    = log3 2 + log3 7
    = 0.6310 + 1.7712
    = 2.4022
  • 3. x7x2
    = x5
    log6 15
    log6 3
    log6 5 =
  • 4. log3 4
    = log3
    = log3 20 – log3 5
    = 2.7268 – 1.4650
    = 1.2618
    20 5
  • 5. (x4)5 = x20
    log7 43 = 3 log7 4
  • 6. Find log4 36
    = log4 62
    = 2 log4 6
    = 2(1.2925)
    = 2.585
  • 7. logb b = 1
    log4 4 = 1
    log9 9 = 1
  • 8. log3 4 = 1.2618
    Find log3 48
    = log3 (3)(42)
    = log3 3 + log3 42
    = log3 3 + 2 log3 4
    = 1 + 2(1.2618)
    = 1 + 2.5236
    = 3.5236
  • 9. Find
    = log2 (3)(25)
    = log2 3 + log2 25
    = log2 3 + 5 log2 2
    = 1.5850 + 5(1)
    = 6.5850
    Example 3-1b
  • 10. Find
    Example 3-1a
  • 11. Solve
    or
    Example 3-5c
  • 12. Solve .
    Example 3-5a
  • 13. Solve
    log2 x(x – 6) = 4
    x(x – 6) = 24
    x2 – 6x – 16 = 0
    (x – 8)(x + 2) = 0
    x = 8 or x = -2
    Example 3-5e
  • 14. Solve
    log3 x2 – log3 62 = log3 4
    log3 x2 – log3 36 = log3 4
    log3 = log3 4
    = 4
    x2 = 144
    x = 12 or x = -12
    x236
    x236
    Example 3-5e