যদি log(a/b) + log(b/a) = log(a + b) হয়, তবে-
A
a + b = 1
B
a - b = 1
C
a = b
D
a2 - b2 = 1
উত্তরের বিবরণ
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 day ago
log2√5 400 = x হলে x এর মান কত?
Created: 1 week ago
A
2√5
B
4
C
8
D
10
প্রশ্ন: log2√5 400 = x হলে x এর মান কত?
সমাধান:
log2√5 400 = x
⇒ (2√5)x = 400
⇒ (2√5)x = (20)2
⇒ (2√5)x = (4 × 5)2
⇒ (2√5)x = {(2)2 × (√5)2}2
⇒ (2√5)x = 24 × (√5)4
⇒ (2√5)x = (2√5)4
⇒ x = 4
0
Updated: 1 week ago
5log105 - log1025 = কত?
Created: 3 weeks ago
A
log10 75
B
log10 25
C
log1015
D
log10125
প্রশ্ন: 5log105 - log1025 = কত?
সমাধান:
= 5log105 - log1025
= 5log105 - log1052
= 5log105 - 2log105
= 3log105
= log1053
= log10125
0
Updated: 3 weeks ago
log√381 কত?
Created: 1 month ago
A
4
B
27√3
C
8
D
1/8
প্রশ্ন: log√381 কত?
সমাধান:
log√381
= log√334
= log√3{(√3)2}4
= log√3(√3)8
= 8log√3√3
= 8 × 1
= 8
0
Updated: 1 month ago
