Home
Class 12
MATHS
If (log)k xdot(log)5k=(log)x5,k!=1,k >0,...

If `(log)_k xdot(log)_5k=(log)_x5,k!=1,k >0,` then `x` is equal to `k` (b) 1/5 (c) 5 (d) none of these

A

k

B

`1//5`

C

5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B, C
`log_(k) x * log_(5) k=log_(x) 5`
` or(log x log k)/(log k log 5) = log_(x) 5 `
` or (log x )/(log 5) = log _(x) 5`
` or log_(5) x = 1/(log_(5) x)`
` or (log_(5)x)^(2) = 1`
` or log_(5) x = pm 1`
` rArr x = 5^(pm 1) `
` rArr x = 1/5 , 5`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise (Comprehension)|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise (Matrix)|3 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise (Single)|50 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_(k)x*log_(5)k=log_(x)5,k!=1,k>0, then x is equal to k(b)1/5(c)5(d) none of these

if log_(k)x.log_(5)k=log_(x)5,k!=1,k>0, then find the value of x

if log_(k)x*log_(5)k=log_(x)5 then xis equal to

if log_(k)x*log_(5)k=log_(x)5 then xis equal to

If log_(k)xlog_(5)k=3 , then what is x equal to?

If x=log_(k)b=log_(b)c=(1)/(2)log_(c)d, then log_(k)d is equal to

If log_(k)xlog_(5)k=3 , then find the value of x.

If log_(e)2*log_(k)(1728)=log_(5)8.log_(e)5 then k=

If (log_(5) K) (log_(3) 5) (log_(k) x ) = k , then the value of x if k = 3 is