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If "log"(e) 2."log"(x) 27 = "log"(10) 8....

If `"log"_(e) 2."log"_(x) 27 = "log"_(10) 8."log"_(e) 10`, then x =

A

1

B

3

C

2

D

4

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-LOGARITHMS-Exercise
  1. If (4.2)^(x) = (0.42)^(y) = 100, " then "(1)/(x) -(1)/(y)=

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  2. If "log"(8)x = 25 " and log"(2) y = 50, then x =

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  3. If "log"(e) 2."log"(x) 27 = "log"(10) 8."log"(e) 10, then x =

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  4. If 3 +"log"(5)x = 2"log"(25) y, then x equals to

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  5. If ("log"a)/(3) = ("log"b)/(4) = ("log"c)/(5), then ca equals

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  6. 2^(x)xx3^(2x)=100 then x belongs to

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  7. If x^(2"log"(10)x) = 1000x, then x equals to

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  8. If "log"(10)5 =x, " then log"(5) 1250 equals to

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  9. If 5^(3x^(2)"log"(10)2) = 2^((x + (1)/(2))"log"(10) 25), then x equals...

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  10. If "log"(x) (4x^("log"(5)x) + 5) = 2 "log"(5)x, then x equals to

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  11. The equation "log"(e)x + "log"(e)(1+x) =0 can be written as

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  12. If x =log3(5) and y =log17( 25), which one of the following is correct...

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  13. If x ="log"(a)(bc), y ="log"(b)(ca) " and "z = "log"(c)(ab), then whi...

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  14. The value of "log"(2)"log"(2)"log"(4) 256 + 2 "log"(sqrt(2))2, is

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  15. loga/(y-z)=logb/(z-x)=logc/(x-y) then value of abc=

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  16. If "log"(2) 7 = x, then x is:

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  17. If 2^((3)/("log"(3)x)) = (1)/(64), then x =

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  18. If a = 1 + "log"(x) yz, b = 1 + "log"(y) zx, c =1 + "log"(z) xy, then ...

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  19. If (logx)/(a^2+a b+b^2)=(logy)/(b^2+b c+c^2)=(logz)/(c^2+c a+a^2), the...

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  20. If log(2a-3b)=loga-logb, then a=

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