1. a, 2. d, 3. b, 4. d, 5. a, 6. b, 7. d, 8. a, 9. d, 10. b
Step-by-step explanation:
Question 1
log3 9 = log 3 3² = 2
Question 2
log8 12 = log 12/log 8 = 1.19
Question 3
ln 7 = log 7 / log e = 1.95
Question 4
log4 14 as a logarithm of base 3 log4 14 = log3 14/ log3 4
Question 5
log6 5 as a logarithm of base 4 log6 5 = log4 5/ log4 6
Question 6
log4 (y − 9) + log4 3 = log4 81log4 (3y - 27) = log4 813y - 27 = 813y = 108y = 36
Question 7
5 log2 k − 8 log2 m + 10 log2 nlog2 k^5 - log2 m^8 + log2 n^10 =log2 (k^5n^10/m^8)
Question 8
2 log x = log 36 log x^2 = log 36x^2 = 36x = √36x = ± 6
Question 9
4 log12 2 + log12 x = log12 96 log12 16x = log12 9616x = 96x = 6
Question 10
2 log2 2 + 2 log2 6 − log2 3x = 3log2 (4*36/3x) = 348/x = 2^348/x = 8x = 48/8x = 6