1/2 ln (x + 3) - lnx = 0 solve for x

1

Simplify / frac{1}{2}/imath n (x+3) 2 1 ın (x+3) to / frac{/imath n (x+3) }{2} 2 ın (x+3)

/frac{/imath n (x+3) }{2}-/imath nx=0 2 ın (x+3) -ınx=0

2

Add / imath nxınx to both sides

/frac{/imath n (x+3) }{2}=/imath nx 2 ın (x+3) =ınx

3

Multiply both sides by 22

/imath n (x+3) = / imath nx/times 2ın (x+3) = ınx*2

4

Regroup terms

/imath n (x+3) = nx/times 2/imathın (x+3) = nx*2ı

5

Cancel / imathı on both sides

n (x+3) = nx/times 2n (x+3) = nx*2

6

Divide both sides by nn

x+3=/frac{nx/times 2}{n}x+3= n nx*2

7

Subtract 33 from both sides

x=/frac{nx/times 2}{n}-3x= n nx*2 -3