Question

Jika f(x) = log (x - 3), g(x) = log (x - 5), dan h(x) = log x, maka nilai x yang memenuhi persamaan f(x) + 2 = g(2x) + h(25) adalah

Answer 1

F(x) + 2 = g(2x) + h(25)
log (x-3) + 2 = log(2x-5) + log 25 , syarat x >3 , x > 5/2
log (x-2) +log 100 = log (2x-5)(25)
log (x-2)(100) = log (2x-5)(25
100(x-2) = 25(2x-5)
4(x-2) = 2x- 5
4x - 8 = 2x - 5
2x= 3
x = 3/2 TM) krn x < 3  
HP =  {  }