log3√54 + log3√(3/2) = ?
A
2
B
3
C
5/3
D
3/2
উত্তরের বিবরণ
প্রশ্ন: log3√54 + log3√(3/2) = ?
সমাধান:
log3√54 + log3√(3/2)
= log3√(54) × √(3/2) [loga(m) + loga(n) = loga(mn)]
= log3√(54 × 3/2)
= log3√(162/2)
= log3(√81)
= log3(9)
= log3(32)
= 2 log33
= 2 × 1
= 2
0
Updated: 1 month ago
2log105 + log1036 - log109 =?
Created: 1 month ago
A
2
B
100
C
37
D
4.6
2log105 + log1036 - log109 = log1052 + log1062- log1032 [ plogkM = logkMp]
= log10 {(52×62)/32} [logkM + logkN = logk(MN), logkM – logkN = logk(M/N)]= log10{(25 × 36)/9}= log10100= log10102= 2log1010= 2.1= 2
= log10 {(52×62)/32} [logkM + logkN = logk(MN), logkM – logkN = logk(M/N)]
0
Updated: 1 month ago
Created: 2 weeks ago
A
1/2
B
3/5
C
2/5
D
1/3
প্রশ্ন: 
সমাধান:
0
Updated: 2 weeks ago
যদি logx2 = a এবং logx3 = b হয়, তাহলে logx72 = কত?
Created: 3 weeks ago
A
a + 2b
B
2a - 3b
C
a + 3b
D
3a + 2b
সমাধান:
দেওয়া আছে, logx2 = a এবং logx3 = b
logx72
= logx(8 × 9)
= logx(23 × 32)
= logx(23) + logx(32) [log(mn) = logm + logn]
= 3logx2 + 2logx3
= 3a + 2b [মান বসিয়ে]
0
Updated: 3 weeks ago
