Home
Class 12
MATHS
If a=log4 5 and b=log5 6 , then log2 3 =...

If `a=log_4 5` and `b=log_5 6` , then `log_2 3` =

A

`1 - 2ab `

B

`1 + 2 ab `

C

`2 ab - 1 `

D

` (a - b)/(a + b)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE / WORKOUT (CATEGORY 2 : SINGLE OPTION CORRECT TYPE )|15 Videos

  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE / WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE )|10 Videos

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|2 Videos

  • MATRICES AND DETERMINANTS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE )|3 Videos

Similar Questions

Explore conceptually related problems

If log_(4)5 = x and log_(5)6 = y then

If log_(4)5=a and log_(5)6=b, then log_(3)2 is equal to (1)/(2a+1) (b) (1)/(2b+1)(c)2ab+1(d)(1)/(2ab-1)

If log_(4)5=x and log_(5)6=y then

If "log"_(4) 5 = x " and log"_(5) 6 = y, " then log"_(2) 3 is equal to

If log_(4)5=a and log_(5)6=b then what is the value of log_(3)2

(log_(5)6) /(log_(5)2 + 1) =

A denotes the product xyz where x,y and z satisfy log_3 x= log5-log7 and log_5 y=log7-log 3 and log_7 z=log 3-log5 B denotes the sum of square of solution of the equation, log_2(log_2 x^6 - 3) - log_2(log_2 x^4 - 5) = log_2 3 C denotes characterstio of logarithm log_2 (log_2 3)-log_2 (log_4 3)+log_2(log_4 5)-log_2(log_6 5)+log_2 (log_6 7)-log_2 (log_6 3) The valuo of A+B+C is equal to

If 5 log3 + log x = 5log6 , then k = ______

If a=log.(3)/(2),b=log.(4)/(25) and c = log.(5)/(9) , then a + b+ c = ______.