Home
Class 12
MATHS
If log(3) y = x and log(2) z = x ,...

If ` log_(3) y = x and log_(2) z = x , " find " 72^(x)` in terms of y and z.

Text Solution

Verified by Experts

` log_(3) y = x`
` rArr y = 3^(x)`
` log_(2) z=x`
` rArr z = 2^(x)`
Now, ` 72^(x) = (2^(3)3^(2))^(x) = 2^(3x)3^(2x) =( 2^(x))^(3)(3^(x))^(2)=y^(3)z^(2)`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.1|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.2|9 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

If (log)_(3)y=xand(log)_(2)z=x, find 72^(x) in terms of y and z .

If log_(3)y=x and log_(2)z=x, then 72^(x) is equal to

If x = log_(3) 4 " and " y = log_(5) 3 , find the value of log_(3) 10 " and " log_(3) (1 . 2) in terms of x and y .

If "log"_(y) x = "log"_(z)y = "log"_(x)z , then

log_(x)x xx log_(y)y xx log_(z)z = ______

If log_(2)(log_(4)(x))) = 0, log_(3)(log_(4)(log_(2)(y))) = 0 and log_(4)(log_(2)(log_(3)(z))) = 0 then the sum of x,y and z is-

if log_(2)(log_(3)(log_(4)x))=0 and log_(3)(log_(4)(log_(2)y))=0 and log_(3)(log_(2)(log_(2)z))=0 then find the sum of x,y and z is