log(a2/bc) + log(b2/ca) + log(c2/ab) = ?
A
2 log (a + b + c)
B
log (abc)
C
1
D
0
উত্তরের বিবরণ
সমাধান:
আমরা জানি, log(m/n) = log(m) - log(n) এবং log(mp) = plog(m)
সুতরাং,
log(a2/bc) + log(b2/ca) + log(c2/ab)
= (log a2 - log bc) + (log b2 - log ca) + (log c2 - log ab)
= (2log a - log b - log c) + (2log b - log c - log a) + (2log c - log a - log b)
= 2log a - log b - log c + 2log b - log c - log a + 2log c - log a - log b
= (2log a - log a - log a) + (- log b + 2log b - log b) + (- log c - log c + 2log c)
= 0 + 0 + 0
= 0
0
Updated: 3 days ago
log3(1/81) = কত?
Created: 3 days ago
A
27
B
9
C
- 4
D
1/4
সমাধান:
log3(1/81)
= log3(1/34)
= log3(3- 4)
= - 4 × log33 [loga(mn) = n . logam]
= - 4 × 1 [logaa = 1]
= - 4
0
Updated: 3 days ago
যদি log2[log3(log2a)] = 0, তাহলে a এর মান কত?
Created: 3 days ago
A
4
B
8
C
100
D
210
সমাধান:
log2[log3(log2a)] = 0
⇒ log3(log2a) = 20
⇒ log3(log2a) = 1
⇒ log2a = 31
⇒ log2a = 3
⇒ a = 23
∴ a = 8
0
Updated: 3 days ago
log3(√27) + log3√(1/3) = কত?
Created: 3 days ago
A
1
B
0
C
3
D
- 4
সমাধান:
আমরা জানি, loga(m) + loga(n) = loga(mn) হয়।
সুতরাং, log3(√27) + log3(√(1/3)
= log3√(27 × 1/3)
= log3(√9)
= log3(3)
= 1
0
Updated: 3 days ago
