Hi could someone please let me know if this is correct?

Log4_X + log4_(x-3)=1

Log4_X + log4_X - Log4_3=1

Change base ln

Log4_X= lnX/ln4

Log4_3=ln3/ln4

1=lne^1=lne

Now

lnX/ln4 + lnX/ln4 - ln3/ln4 = lne

As all ln the cancel all and solve with algebra

X/4 +X/4 - 3/4 = 1

(2X-3)/4 = 1

2X-3 = 4

2X = 4+3

X = 7/2

Thanks in advance