log3 x 4 log3 x 4 3 log3 x 4x 4 3Solutionlog 3 x4 x

log_3 (x + 4) - log_3 (x - 4) = 3 log_3 (x + 4/x - 4) = 3

Solution

log ₃ ( x+4 / x- 4 ) = 3

applying log property

log _m ( n) = a

n = m^a

therefore ,

log ₃ ( x+4 / x- 4 ) = 3

= x + 4 / x - 4 = 3^3

x+ 4 / x-4 = 27

multiplying both sides by x - 4

x + 4 = 27 ( x-4)

x + 4 = 27 x - 108

combining like terms

26x = 112

x = 112/26 = 4.307