Home
Class 12
MATHS
If sum log(2)x+log(4) x + log(16) x + l...

If sum ` log_(2)x+log_(4) x + log_(16) x + log_(256) x + …=6,` then find the value of x.

Text Solution

AI Generated Solution

To solve the equation \[ \log_{2} x + \log_{4} x + \log_{16} x + \log_{256} x + \ldots = 6, \] we will follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 1.27|1 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 1.28|1 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 1.25|1 Videos
  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE ENGLISH|Exercise Subjective Type|9 Videos
  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

If log_(2) x xx log_(3) x = log_(2) x + log_(3) x , then find x .

If log_(2)x + log_(2)x=7 , then =

Solve for x: log_(4) log_(3) log_(2) x = 0 .

If "log"_(4) 2 + "log"_(4) 4 + "log"_(4) 16 + "log"_(4) x = 6 , then x =

Find x if log_(2) log_(1//2) log_(3) x gt 0

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).

If "log"_(2)x + "log"_(4)x + "log"_(16)x = (21)/(4) , then x equals to

If log_(2)(x + y) = log_(3)(x - y) = (log 25)/(log 0.2) , find the values of x and y.

If log_(x) 6 = 3 , then x =