Functions - Logarithmic functions - Log Laws.
Test Yourself 2.
Use the six laws of logarithms as outlined in the video to simplify/solve the following:
Log laws with numbers. | 1. log2 48 - log2 3 |
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7. | 8. | |
Log laws with pronumerals. | 9. log3 81x - log3 9x
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Substitution | 29. Given log pq = 1.544 and log qr = 1.113, |
30. (i) log 45 = log (9 × 5) = 2 log 3 + log 5 = 2b + c (ii) log (10/9) = log 10 - log 9 = log 2 + log 5 - 2log 3 = a + c - 2b (iii) (iv) |
31.(i) (ii) |
32. (i) (ii) |
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Equations | 33. | 34. |
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37. | 38.
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41. Solve log5 (4 - x) = 1 + 2 log5 x | 42. 3log72 = log7x - log75. |