x4 = 81 হলে, log√3x এর মান কত?
A
2
B
1/2
C
1
D
1/3
উত্তরের বিবরণ
সমাধান:
দেওয়া আছে,
x4 = 81
⇒ x4 = 34
∴ x = 3
এখন,
log√3x
= log√33
= log√3(√3)2
= 2log√3√3 ;[logaa = 1]
= 2 × 1
= 2
দেওয়া আছে,
x4 = 81
⇒ x4 = 34
∴ x = 3
এখন,
log√3x
= log√33
= log√3(√3)2
= 2log√3√3 ;[logaa = 1]
= 2 × 1
= 2
0
Updated: 1 month ago
log272 - log218 + log28 = কত?
Created: 1 month 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 month ago
যদি log(a/b) + log(b/a) = log(a + b) হয়, তবে-
Created: 1 month ago
A
a + b = 1
B
a - b = 1
C
a = b
D
a2 - b2 = 1
প্রশ্ন: যদি log(a/b) + log(b/a) = log(a + b) হয়, তবে-
সমাধান:
log(a/b) + log(b/a) = log(a + b)
⇒ log{(a/b) × (b/a)} = log(a + b)
⇒ log1 = log(a + b)
⇒ a + b = 1
0
Updated: 1 month ago
log15 √15 = x হলে x এর মান কত?
Created: 2 months ago
A
1/5
B
2
C
5
D
1/2
সমাধান:
log15 √15 = x
⇒ 15x = √15
⇒ 15x = (15)1/2
⇒ x = 1/2
0
Updated: 2 months ago
