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Logarithmic Functions
 Exponential Form
 Logarithmic Form
Converting To Different Forms
Properties of Logarithms
 Product Property
 Quotient Property
 Power Property
 Property of Equality
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Name:_______________________________
Date ________________
Examples:
Write in Logarithmic Form.
Write in Exponential Form.
1. 52 = 25
3. 𝑙𝑜𝑔2 8 = 3
2. 113 = 1331
4. 𝑙𝑜𝑔5 125 = 3
Evaluate each expression.
Expand each logarithm.
5. 𝑙𝑜𝑔4 256
9. 𝑙𝑜𝑔4 10
6. 𝑙𝑜𝑔6 7776
10. 𝑙𝑜𝑔6
7. 𝑙𝑜𝑔81 9
11. 𝑙𝑜𝑔7 9
8. 𝑙𝑜𝑔4
1
16
Condense each logarithm.
13. 𝑙𝑜𝑔3 5 − log 3 2
14. 2 𝑙𝑜𝑔6 3 − 3 log 6 2
15. 𝑙𝑜𝑔7 5 + log 7 6
16. 4 log 𝑥 + 3 log 𝑦 − 2 log 7
12. 𝑙𝑜𝑔7
13
7
4𝑥
3