If log(x)log(18)(sqrt(2)+sqrt(8))=(1)/(3...

If `log_(x)log_(18)(sqrt(2)+sqrt(8))=(1)/(3)`, then the value of `32x=`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

LOGARITHMS
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos
LOGARITHMS
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|7 Videos
LIMIT
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos
MATRICES
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|4 Videos

Similar Questions

Explore conceptually related problems

If log_(x)log_(18) (sqrt(2)+sqrt(8)) = (-1)/(2) . Then the value of 'x'.

log(sqrt(x)+1/sqrt(x))

If log_(sqrt8) b = 3 1/3 , then find the value of b.

Suppose that log_(10)(x-2)+log_(10)y=0and sqrtx+sqrt(y-2)=sqrt(x+y). Then the value of (x+y) is

{:(Column -I,Column -II),((A)"if" 4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1)"then 2x equals",(P)1),((B)"The number of solutions of" log_(7)log_(5)(sqrt(x+5)+sqrt(x))=0 is,(Q)2),((C)"The number of values of x such that the middle term of",(R)3),(log_(2)2 log_(3)(2^(x)-5)log_(3)(2^(x)-(7)/(2))"is the average of the other two is",),((D)"if" alphabeta "are the roots of the equation",(S)4),(x^(2)-(3+2^(sqrt(log_(2)3)-3sqrt(log_(3)2)))x-2(3log_(3)^(2)-2^(log_(2)^(3)))=0,),("then" 2(alpha+beta)-alpha beta"equals",):}

Let P=(5)/((1)/(log_(2)x)+(1)/(log_(3)x)+(1)/(log_(4)x)+(1)/(log_(5)x))and (120)^(P)=32 , then the value of x be :

If int(x(x-1))/((x^(2)+1)(x+1)sqrt(x^(3)+x^(2)+x))dx =(1)/(2)log_(e)|(sqrt(f(x))-1)/(sqrt(f(x))+1)|-tan^(-1)sqrt(f(x))+C, then The value of f(1) is

If log_(sqrt(27))x = 2 (2)/(3) , find x.

log_(16)x^(3)+(log_(2)sqrt(x))^(2) lt 1 iff x lies in

VIKAS GUPTA (BLACK BOOK) ENGLISH-LOGARITHMS -Exercise-5 : Subjective Type Problems

If log(x)log(18)(sqrt(2)+sqrt(8))=(1)/(3), then the value of 32x=
Text Solution
|
The number N=6^(log(10)40). 5^(log(10)36) is a natural number ,Then su...
Text Solution
|
The minimum value of 'c' such that log(b)(a^(log(2)b))=log(a)(b^(log(2...
Text Solution
|
How many positive integers b have the property that log(b)729 is a pos...
Text Solution
|
The number of negative integral values of x satisfying the inequality ...
Text Solution
|
(6)/(5)a^((log(a)x)(log(10)a)(log(a)5))-3^(log(10)((x)/(10)))=9^(log(1...
Text Solution
|
If log(5)((a+b)/(3))=(log(5)a+log(5)b)/(2),"then" (a^(4)+b^(4))/(a^(2...
Text Solution
|
Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...
Text Solution
|
The number of real values of x satisfying the equation log(10) sqrt(...
Text Solution
|
The ordered pair (x,y) satisfying the equation x^(2)=1+6 log(4)y and...
Text Solution
|
If log(7)log(7) sqrt(7sqrt(7sqrt(7)))=1-a log(7)2 and log(15)log(15) s...
Text Solution
|
The number of ordered pair(s) of (x, y) satisfying the equations log...
Text Solution
|
If log(b) n = 2 and og(n) 2b = 2, then find the value of b.
Text Solution
|
If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is
Text Solution
|
If x, y satisfy the equation, y^(x)=x^(y) and x=2y, then x^(2)+y^(2)=
Text Solution
|
Find the number of real values of x satisfying the equation. log(2)(...
Text Solution
|
If x(1), x(2)(x(1) gt x(2)) are the two solutions of the equation 3^...
Text Solution
|
Find the number or real values of x satisfying the equation 9^(2log(9)...
Text Solution
|
If log(16)(log(root(4)(3))(log(root(3)(5))(x)))=(1)/(2), find x.
Text Solution
|
The value [(1)/(6)((2log(10)(1728))/(1+(1)/(2)log(10)(0.36)+(1)/(3)log...
Text Solution
|