Question

Log8(2-5x)=log8(-4x+3)

Answer 1

2 - 5x > 0 and -4x + 3> 0

log8(2-5x)=log8(-4x+3) <=> 2 - 5x = - 4x + 3 <=> -5x + 4x = 3 - 2 <=> -x = 1 <=> x = -1;

2 - 5(-1) = 7 > 0 and -4(-1) + 3 = 7 > 0 ;

the solution is -1;