2log105 + log1036 - log109 =?
A
2
B
100
C
37
D
4.6
উত্তরের বিবরণ
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: 4 hours ago
log3√54 + log3√(3/2) = ?
Created: 1 week ago
A
2
B
3
C
5/3
D
3/2
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 week ago
32√2 এর 2 ভিত্তিক লগারিদম কত?
Created: 1 week ago
A
4/5
B
5
C
5/2
D
11/2
প্রশ্ন: 32√2 এর 2 ভিত্তিক লগারিদম কত?
সমাধান:
log2(32√2)
= log2(32 × 21/2)
= log2(25 × 21/2)
= log2(25 + 1/2)
= log2(211/2)
= (11/2) × log2(2) [যেহেতু, logb(am) = m × logb(a)]
= (11/2) × 1
= 11/2
0
Updated: 1 week ago
Created: 1 week ago
A
6/17
B
11/6
C
9/5
D
14/7
সমাধান:
0
Updated: 1 week ago
