Maths-
General
Easy
Question
Number of integral values of x for which the inequality log10 ![open parentheses fraction numerator 2 x minus 2007 over denominator x plus 1 end fraction close parentheses](data:image/png;base64,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)
0 holds true, is
- 1004
- 1005
- 2007
- 2008
The correct answer is: 1005
Related Questions to study
maths-
implies
implies
maths-General
maths-
log4 (2x2 + x + 1) – log2 (2x – 1)
– tan ![fraction numerator 7 pi over denominator 4 end fraction](data:image/png;base64,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)
log4 (2x2 + x + 1) – log2 (2x – 1)
– tan ![fraction numerator 7 pi over denominator 4 end fraction](data:image/png;base64,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)
maths-General
maths-
The solution set of the inequation log1/3 (x2 + x + 1) + 1 > 0 is
The solution set of the inequation log1/3 (x2 + x + 1) + 1 > 0 is
maths-General
maths-
If
–5
+ 6 = 0 where a > 0, b > 0 & ab
1. Then the value of x is equal to
If
–5
+ 6 = 0 where a > 0, b > 0 & ab
1. Then the value of x is equal to
maths-General
maths-
No. of ordered pair satisfying simultaneously the system of equation
.
= 256 & log10
– log10 1.5 = 1 is.
No. of ordered pair satisfying simultaneously the system of equation
.
= 256 & log10
– log10 1.5 = 1 is.
maths-General
maths-
If
= 1/x2, then x =
If
= 1/x2, then x =
maths-General
maths-
If xn > xn–1 >...> x2 > x1 > 1 then the value of ![log subscript straight x subscript 1 end subscript invisible function application log subscript straight x subscript 2 end subscript invisible function application log subscript straight x subscript 3 end subscript invisible function application horizontal ellipsis log subscript straight x subscript straight n end subscript invisible function application x subscript n](data:image/png;base64,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)
is equal to-
If xn > xn–1 >...> x2 > x1 > 1 then the value of ![log subscript straight x subscript 1 end subscript invisible function application log subscript straight x subscript 2 end subscript invisible function application log subscript straight x subscript 3 end subscript invisible function application horizontal ellipsis log subscript straight x subscript straight n end subscript invisible function application x subscript n](data:image/png;base64,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)
is equal to-
maths-General
maths-
The expression logp
where
when simplified is.
The expression logp
where
when simplified is.
maths-General
maths-
Let N=
Then log2N has the value –
Let N=
Then log2N has the value –
maths-General
maths-
If a2 + 4b2 = 12ab, then log (a + 2b) =
If a2 + 4b2 = 12ab, then log (a + 2b) =
maths-General
maths-
Given that logpx = α and logqx = β, then value of logp/q x equals-
Given that logpx = α and logqx = β, then value of logp/q x equals-
maths-General
Maths-
If f(x) is the primitive of
(x
0), then
f ' (x) is -
If f(x) is the primitive of
(x
0), then
f ' (x) is -
Maths-General
Maths-
If f(x) is the primitive of
(x
0), then
is-
If f(x) is the primitive of
(x
0), then
is-
Maths-General
maths-
If
where
hen the equation f(x) = 0 has, in the interval (a, b)
If
where
hen the equation f(x) = 0 has, in the interval (a, b)
maths-General
physics-
The velocity-time graph of a particle moving along a straight line is shown in figure. The displacement of the body in 5s is
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)
The velocity-time graph of a particle moving along a straight line is shown in figure. The displacement of the body in 5s is
![](data:image/png;base64,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)
physics-General