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# Alg2 lesson 10-2

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### Alg2 lesson 10-2

1. 1. Exponential form log form<br />If bx = a, then x = logb a<br />b and x must be positive<br />b cannot equal 1<br />
2. 2. Write in exponential form.<br />Write in exponential form.<br />exponent<br />base<br />Example 2-1a<br />
3. 3. Write each equation in exponential form.<br />a.<br />b.<br />Answer:<br />Answer:<br />Example 2-1c<br />
4. 4. Write in logarithmic form.<br />Write in logarithmic form.<br />exponent<br />base<br />Example 2-2a<br />
5. 5. Write each equation in logarithmic form.<br />a.<br />b.<br />Answer:<br />Answer:<br />Example 2-2c<br />
6. 6. Evaluate<br />Example 2-3a<br />
7. 7. Evaluate<br />log10 1000 = y<br />1000 = 10y<br />103 = 10y<br />3 = y<br />Example 2-3b<br />
8. 8. Evaluate<br />Evaluate<br />log9 92 = y<br />92 = 9y<br />2 = y<br />log5 53 = y<br />53 = 5y<br />3 = y<br />log7 712 = 12 <br />Example 2-4a<br />
9. 9. Evaluate<br />=<br />Example 2-4b<br />
10. 10. Solve<br />Example 2-5a<br />
11. 11. Solve<br />Example 2-5b<br />
12. 12. Solve <br />Check 3: <br />Check 1: <br />or<br />Example 2-7a<br />