Home
Class 11
MATHS
Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2...

Solve `(log)_4 8+(log)_4(x+3)-(log)_4(x-1)=2.`

Text Solution

AI Generated Solution

To solve the equation \( \log_4 8 + \log_4 (x + 3) - \log_4 (x - 1) = 2 \), we will use properties of logarithms. ### Step 1: Combine the logarithms Using the properties of logarithms, we can combine the terms on the left side. We know that: \[ \log_a b + \log_a c = \log_a (b \cdot c) \] and ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE|Exercise Solved Examples And Exercises|67 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise Solved Examples And Exercises|433 Videos

Similar Questions

Explore conceptually related problems

Solve for x:(lg)_(4)(log)_(3)(log)_(2)x=0

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

Solve :2(log)_(3)x-4(log)_(x)27 1)

Solve for x:(log)_(4)(x^(2)-1)-(log)_(4)(x-1)^(2)=(log)_(4)sqrt((4-x)^(2))

Solve: (log)_(2)(4.3^(x)-6)-(log)_(2)(9^(x)-6)=1

Solve for x, if log_x(8x-3)-log_x4=2

Solve : log_2 x + log_4 (x+2) = 2

Solve :3log_(x)(4)+2log_(4x)4+3log_(16x)4=0

Solve (i)log _(2)(x-1)>4( ii) log_(3)(x-2)<=2

Solve for x, if log_(x)(8x-3)-log_(x)4=2