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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