Question

log5(x+1)=log5(4x-5)

Answer 1

$log_5(x+1)=log_5(4x-5)\-------------------\x+1 > 0 wedge 4x-5 > 0\x > -1 wedge x > frac{5}{4}\xin(frac{5}{4}; infty)\---------------------\x+1=4x-5\x-4x=-5-1\-3x=-6 /:(-3)\x=2in(frac{5}{4}; infty)\\O:x=2$