Log12 (27) = a is known and log6 (16) is represented by A

a=ln(27)/ln(12)=3ln(3)/[2ln(2)+ln(3)]
2aln(2)=(3-a)ln(3)
ln(2)=ln(3)(3-a)/(2a)
log6（16）=ln(16)/ln6=4ln2/(ln2+ln3)
=4(3-a)/(2a)/[(3-a)/(2a)+1]
=4(3-a)/[(3-a)+2a]
=4(3-a)/(3+a)

RELATED INFORMATIONS

1. Log12 ^ 27 = 0, find log6 ^ 16
2. Let log1227 = A and prove: log616 = 4 (3 − a) 3 + a
3. Given log6 (16) = a, log12 (54) = (denoted by a)
4. The detailed process of [log6 (4) / log6 (36)] / [log6 (6) / log6 (18)] evaluation,
5. (log6 2) & how to calculate? 6 is small, under log
6. Evaluation: (log6 2) &# + log6 3 * log6 2 + log6 3, how to calculate?
7. Calculation: log6 base 3 = a, log6 base 5 = B, expressed by a, B: log15 base 36, need a complete process
8. Six times six seventeen plus six seventeen divided by six
9. Calculate, (1) 54 and 2 / 5 divided by 17 (2) 1 / 2 + 1 / 6 + 1 / 12 + 1 / 20 + 1 / 30 + 1 / 42
10. Calculation: 2 / 1 + 4 / 1 + 8 / 1 + 16 / 1 + 32 / 1 =?
11. (LOG6 3)^2+（log618）/（log26）
12. Logarithmic operation: the log6 ^ 5 power of 2 multiplied by the log6 ^ 5 power of 3 The log6 ^ 5 power of 2 is multiplied by the log6 ^ 5 power of 3 It's urgent
13. How to calculate the value of 1 / 2 log6 ^ 12 – log6 ^ √ 2?
14. Let log27 12 = a, then log6 16=
15. Let 3 ^ a = 2 denote the value of log6 (2) with a
16. Given log64 = a, log63 = B, find the value of a + 2B
17. Given log12 (27) = a, find the value of log6 (16) It's coming
18. [（1-log6 3）²+log6 2×log6 18]/log6 4
19. How many of the 52 playing cards can guarantee that at least one of them is two (explain the reason)
20. Sima Qian angrily wrote the last section of historical records. What can be written by the last word in the sentence and what does 520000 words explain