Question

find the values of x and y if log10 (x-1)=log10(y+4) and x+y=6

Answer 1

log10(x-1)=log10(y+4)
=x-1=y+4
=x-y=5.....(1)
given,
x+y=6...(2)
(1)-(2)
x-y-x-y=5-6
=-2y=-1
=y=1/2
now, x+1/2=6
=2x+1=6
=2x=5
=x=5/2