log3√12 + log3√(3/4) = ?
A
12
B
18
C
1
D
24
উত্তরের বিবরণ
প্রশ্ন: log3√12 + log3√(3/4) = ?
সমাধান:
log3√12 + log3√(3/4)
= log3√{12 × (3/4)} [logaM + logaN = loga(M × N)]
= log3(√9)
= log33
= 1
0
Updated: 17 hours ago
log10 0.01 = ?
Created: 2 weeks ago
A
2
B
- 2
C
- 1/2
D
0.02
প্রশ্ন: log10 0.01 = ?
সমাধান:
log10 0.01
= log10(1/100)
= log10(1/102)
= log10(10- 2)
= - 2 log1010
= (- 2) × 1 [ log1010 =1 ]
= - 2
0
Updated: 2 weeks 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
log√8x = 10/3 হলে
x এর মান কত?
Created: 1 month ago
A
8
B
32
C
128
D
81
সমাধান:
দেওয়া আছে,
⇒ log√8x = 10/3
⇒ (√8)10/3 = x ;[logaN = x হলে, ax = N]
⇒ {√(23)}10/3 = x
⇒ (23/2)10/3 = x
⇒ 25 = x
⇒ x = 32
∴ x = 32
0
Updated: 1 month ago
