x4 = 81 হলে, log√3x এর মান কত?
Created: 5 days ago
A
2
B
1/2
C
1
D
1/3
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: 5 days ago
If log3 (a2 + a) - log3 (a + 1) = 2 then what is the value of a?
Created: 1 week ago
A
3
B
6
C
9
D
27
Question: If log3 (a2 + a) - log3 (a + 1) = 2 then what is the value of a?
Solution:
log3 (a2 + a) - log3 (a + 1) = 2
⇒ log3 {(a2 + a)/(a + 1)} = 2
⇒ log3 {a(a + 1)/(a + 1)} = 2
⇒ log3 a = 2
⇒ a = 32
⇒ a = 9
0
Updated: 1 week ago
যদি logx 32 = 5/2 হয়, তবে x এর মান কত?
Created: 2 weeks ago
A
0
B
- 3
C
4
D
- 2
প্রশ্ন: যদি logx 32 = 5/2 হয়, তবে x এর মান কত?
সমাধান:
logx 32 = 5/2
⇒ x5/2 = 32 [ logxa = b হলে xb = a ]
⇒ (x1/2)5 = 32
⇒ (√x)5 = 25
⇒ √x = 2
⇒ (√x)2 = 22 [ বর্গ করে ]
⇒ x = 4
0
Updated: 2 weeks ago
