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#2-34, evens only In Exercises 1 - 18, expand the given logarithm and simplify. Assume when necessary that all quantities represent positive real numbers. 1.
#2-34, evens only
In Exercises 1 - 18, expand the given logarithm and simplify. Assume when necessary that all quantities represent positive real numbers. 1. In(x y') 81 2. log X x 2 + 5 3. 10g6 216 4. log(3.21 x 10" ) 5. In 6. log, (x2 -64) 7. In(256) 8. In(64) 9. In (81) 4 2 4 10. log. (9x* ) 11. log (16z(x3 -27)) 12. log(100yz") 13. log 100007xy 14. In ex 15. log. 1024 $1000 yz xy 16. log 1005x3 /y 17. 1081 yz 18. In 10 yzIn Exercises 19 - 34, use the properties of logarithms to condense and simplify each expression. 19. 31n(y) +51n(2) 20. 2log, (x) - log, (v) - log, (z) 21. log(10)-log(5) 22. log, (x)+ -log,(y)-410g,(z) 23. 5In(z)-3In(x)-7In(y) 24. -log(z)--log(v)+ - log(x) 25. * in(x) + 5 mm(x) -in(2) 26. 4-log, (z) 27. log(y) +4 28. log, (z)+ - 29. log, (2x3 + x -21) -log, (x -3) 30. log, (x +1) - log, (x] -1) 31. log, (x2 -4)-1082 (x+2) 32. logs (x - 8) + log,(x+2)-logs (x' -x-6) 33. In(x2 - 81)- In(x -6x-27) 34. In(x' -5x+6)-[In(x)+ In(x-3) ]Step by Step Solution
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