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

Verified by Experts

`log_4 8+log_4(x+3)-log_4 (x-1)=2`
`log_4 8(x+3)-log_4(x-1)=2`
`log_4[(8(x+3))/(x-1)]=2`
`(8(x+3))/(x-1)=2^4`
`(8(x+3))/(x-1)=16`
`x+3=2x-2`
`x=5`.
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

Solve: (log)_2(4.3^x-6)-(log)_2(9^x-6)=1.

Solve log_(4)(x-1)=log_(2)(x-3)

Solve (log)_2(x-1)> 4.

Solve : 6((log)_x2-(log)_4x)+7=0.

Solve (log)_(0. 04)(x-1)geq(log)_(0. 2)(x-1)

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

Solve (log)_2(3x-2)=(log)_(1/2)x

Solve: 4(log)_(x/2)(sqrt(x))+2(log)_(4x)(x^2)=3(log)_(2x)(x^3)dot

Solve (log)_(2x)2+(log)_4 2x=-3//2.