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Alg2 lesson 10-3
- 2. Find log3 14
= log3 (2)(7)
= log3 2 + log3 7
= 0.6310 + 1.7712
= 2.4022
- 4. log3 4
= log3 20
5
= log3 20 – log3 5
= 2.7268 – 1.4650
= 1.2618
- 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
- 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
- 14. Solve
log3 x2 – log3 62 = log3 4
log3 x2 – log3 36 = log3 4
x2
log3 = log3 4
36
x2
= 4
36
x2 = 144
x = 12 or x = -12