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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