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Algebra II
HW #1013 Solving Logarithmic Equations
Write as a single logarithm.
1. log 2 M  log 2 N  3
2. log5 x  log5 y  2
3. 1  3log5 x
Simplify.
4. 2log10 5  log10 4
5. 2log3 6  log3 4
Solve each equation.
6. log a x  2log a 3  log a 5
7. logb ( x  3)  logb 8  logb 2
8. log a x  log a ( x  5)  log a 6
9. log 2 ( x2  9)  4
Simplify.
10. log1
11. log10
12. log 2 25
13. 5log5 7
14. 10log3
HW #1013 SOLUTIONS
 25 x 
2. log5 

 y 
1. log 2 8MN 
7. 1
8. 6
9. 5
 5
3. log 5  3 
x 
10. 0
4. 2
11. 1
5. 2
12. 5
6. 45
13. 7
14. 3
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