If log 2 = 0.3010 and log 3 = 0.4771 the value of log √6

log(√6) = log(6^1/2)

We can factor out 6^1/2 using 2 and 3.

log(6^1/2) = log(2^1/2 * 3^1/2)

Rewrite it using the power rule [ ] and product rule [ ]

log(2^1/2 * 3^1/2) = 1/2 log(2) + 1/2 log(3)

Simplify using the given values.

1/2(0.3010) + 1/2(0.4771)

0.1505 + 0.23855

0.38905

Therefore, log(√6) = 0.38905

Best of Luck!

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above