log102 + log10(b + 2) = log10(b - 1) + 1 হলে, b এর মান কত?
Created: 9 hours ago
A
7/4
B
9/4
C
5/4
D
11/4
সমাধান:
log102 + log10(b + 2) = log10(b - 1) + 1
⇒ log102 + log10(b + 2) = log10(b - 1) + log1010
⇒ log10{2(b + 2)} = log10{10(b - 1)}
⇒ 2(b + 2) = 10(b - 1)
⇒ 2b + 4 = 10b - 10
⇒ 4 + 10 = 10b - 2b
⇒ 14 = 8b
⇒ b = 14/8
∴ b = 7/4
0
Updated: 9 hours ago
log15 √15 = x হলে x এর মান কত?
Created: 4 weeks 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: 4 weeks ago
log3√12 + log3√(3/4) = ?
Created: 2 weeks ago
A
12
B
18
C
1
D
24
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: 2 weeks ago
