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If log(12) 27 = a," then find "log(6) 1...

If ` log_(12) 27 = a," then find "log_(6) 16` in terms of a.

A

`(3-a)/(3+a)`

B

`4((3-a)/(3+a))`

C

`3((4-a)/(4+a))`

D

`3((4+a)/(4-a))`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-LOGARITHMS-Exercise
  1. If "log"(x){"log"(4)("log"(x)(5x^(2) +4x^(3)))} =0, then

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  2. If (1)/("log"(x)10) = (2)/("log"(a)10)-2, then x =

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  3. If log(12) 27 = a," then find "log(6) 16 in terms of a.

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  4. If (4.2)^(x) = (0.42)^(y) = 100, " then "(1)/(x) -(1)/(y)=

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

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

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

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

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  9. 2^(x)xx3^(2x)=100 then x belongs to

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

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

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

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

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

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  15. If a =log3(5) and b =log17( 25), which one of the following is correct...

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

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

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

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

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

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