Logarithms
Trending Questions
If and are in A.P. then
- log2 α, log3 α, loge α, log10 α
- log10 α, log3 α, loge α, log2 α
- log10 α, loge α, log2 α, log3 α
- log3 α, loge α, log2 α, log10 α
If α, β are two non zero complex numbers and β is uni modular then the value of ∣∣α−β1−¯¯¯αβ∣∣ is
2
1
0
value of 1a+1+1b+1+1c+1 is
- -2
- 2
- None of these
A man has 7 friends. In how many ways he can invite one or more of them for a tea party
128
256
127
130
Write the negation of each of the following statements in two different ways.
(i) Africa is a continent.
(ii) √5 is rational.
(iii) All integers are rational numbers.
(iv) Some prime numbers are odd numbers.
(v) Everyone in Germany speaks German.
The set of real values of x satisfying the equation
|x−1|log3(x2)−2logx(9)=(x−1)7
is
{81}
{2}
{27, 81}
{2, 81}
If xy2=4 and log3(log2x)+log1/3(log1/2y)=1, then x equals
4
8
18
64
Solution set of the inequality
12x−1>11−2x−1is
(0, log2 (4/3))
(−1, ∞)
(0, log2 (4/3))∪(1, ∞)
(1, ∞)
12+14+18+⋯+12n=1−12n.
The set of real values of x satisfying the equation
|x−1|log3(x2)−2logx(9)=(x−1)7
is
{2}
{27, 81}
{81}
{2, 81}
- An integer
- An irrational number
- A rational number
- A prime number
Express x34(log3x)2+log3x−54=√3 in terms of t wheret = log3 x.
+ + 9t + 2 = 0
+ - 5t - 2 = 0
+ 7t + 2 = 0
+ - 5t - 2 = 0
- −1
- 0
- 1
- 2
- (1, 2)
log101log7(√7+x+√x)=0
- 3
- 9
- 7
- 49
(1) k1 + k2 (2) 2k1 (3) 2k2 (4) k2
Solution of logx2+6x+8log2x2+2x+3(x2−2x)=0 is
a natural number
a negative integer
-1
none of these
- log65
- log8
- log135
- log18
Identify the quantifier in the following statements and write the negation of the statements.
(i) There exists a number which is equal to its square.
(ii) For every real number x, x is less than x + 1.
(iii) There exists a capital for every state in India.
The set of all values of x satisfying xlogx(1−x)2=9 is
a subset of R containing N
a subset of R containing Z(set of all integers)
a finite set
is a finite set containing at least two elements