log10(10) + log10(100) + log10(1000) + log10(10000) = কত?
A
10
B
15
C
7
D
12
উত্তরের বিবরণ
প্রশ্ন: log10(10) + log10(100) + log10(1000) + log10(10000) = কত?
সমাধান:
log10(10) + log10(100) + log10(1000) + log10(10000)
= log10(10) + log10(102) + log10(103) + log10(104)
= log10(10) + 2 × log10(10) + 3 × log10(10) + 4 × log10(10)
= 1 + 2 + 3 + 4 [যেহেতু, logaa = 1]
= 10
0
Updated: 19 hours ago
logx(3/2) = - 1/2 হলে, x এর মান-
Created: 4 weeks ago
A
4/9
B
9/4
C
√3/2
D
√2/3
প্রশ্ন: logx(3/2) = - 1/2 হলে, x এর মান-
সমাধান:
logx(3/2) = - 1/2
বা, x- 1/2 = 3/2
বা, 1/x1/2 = 3/2
বা, x1/2 = 2/3
বা, (x1/2)2 = (2/3)2
∴ x = 4/9
0
Updated: 4 weeks ago
যদি logx324 = 4 হয়, তবে x এর মান কত?
Created: 23 hours ago
A
3√2
B
4√2
C
5√2
D
√2
প্রশ্ন: যদি logx324 = 4 হয়, তবে x এর মান কত?
সমাধান:
logx324 = 4
⇒ x4 = 324
⇒ x4 = 81 × 4
⇒ x4 = 34 × 22
⇒ x4 = 34 × (√2)4
⇒ x4 = (3√2)4
⇒ x = 3√2
∴ x = 3√2
0
Updated: 23 hours ago
log272 - log218 + log28 = কত?
Created: 1 week ago
A
9
B
3
C
7
D
5
সমাধান:
= log272 - log218 + log28
= log2(72 × 8) - log218
= log2{(72 × 8)/18}
= log232
= log225
= 5log22
= 5 ; [ log22 = 1]
0
Updated: 1 week ago
