(81)0.45 × (81)0.30 = ?
A
18
B
9
C
27
D
81
উত্তরের বিবরণ
সমাধান:
(81)0.45 × (81)0.30
= (81)(0.45 + 0.30)
= (81)0.75
= (81)75/100
= (81)3/4
= (34)(3/4)
= 33
= 27
0
Updated: 11 hours ago
log3√54 + log3√(3/2) = ?
Created: 4 weeks ago
A
2
B
3
C
5/3
D
3/2
প্রশ্ন: log3√54 + log3√(3/2) = ?
সমাধান:
log3√54 + log3√(3/2)
= log3√(54) × √(3/2) [loga(m) + loga(n) = loga(mn)]
= log3√(54 × 3/2)
= log3√(162/2)
= log3(√81)
= log3(9)
= log3(32)
= 2 log33
= 2 × 1
= 2
0
Updated: 4 weeks ago
loga(b4) = 4c এবং logb(a4)
= 4d হলে, cd = কত?
Created: 1 month ago
A
0
B
1
C
3
D
4
সমাধান:
loga(b4) = 4c
⇒ 4 × loga(b) = 4c [logn(mk) = k logn(m)]
⇒ loga(b) = c
আবার,
logb(a4) = 4d
⇒ 4 × logb(a) = 4d
⇒ logb(a) = d
∴ cd = loga(b) × logb(a)
⇒ cd = 1 ;[logn(m) × logm(n) = 1]
0
Updated: 1 month ago
log10 0.01 = ?
Created: 1 month ago
A
2
B
- 2
C
- 1/2
D
0.02
প্রশ্ন: log10 0.01 = ?
সমাধান:
log10 0.01
= log10(1/100)
= log10(1/102)
= log10(10- 2)
= - 2 log1010
= (- 2) × 1 [ log1010 =1 ]
= - 2
0
Updated: 1 month ago
