Solve : `log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)+log_(5)x.log_(3)x`.

Solve : `log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(

1.	Solve : `log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)+log_(5)x.log_(3)x`.
Answer» Correct Answer - 60 `log_(3)x.log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)x+log_(5)x.log_(3)x.` Let `log_(x)3=p, log_(x)4=q, log_(x)5=4` `rArr (1)/(pqr)=(1)/(pq)+(1)/(qr)=(1)/(pr)` `rArr p+q+r=1` `rArr log_(x)3+log_(x)4+log_(x)5=1` `rArr log_(x)60=1` `rArr x = 60`

If `a gt 1, x gt 0` and `2^(log_(a)(2x))=5^(log_(a)(5x))`, then x is equal toA. `(1)/(10)`B. `(1)/(5)`C. `(1)/(2)`D. 1
If `x_(1)` and `x_(2)` are solution of the equation `log_(5)(log_(64)|x|+(25)^(x)-(1)/(2))=2x`, thenA. `x_(1)=2x_(2)`B. `x_(1)+x_(2)=0`C. `x_(1)=3x_(2)`D. `x_(1)x_(2)=64`
The value of x satisfying `5^logx-3^(logx-1)=3^(logx+1)-5^(logx - 1)` , where the base of logarithm is 10 is not : 67 divisible by
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If `log_(3)x-(log_(3)x)^(2)le(3)/(2)log_((1//2sqrt(2)))4`, then x can belong toA. `(-oo,1//3)`B. `(9,oo)`C. (1,6)D. `(-oo,0)`
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