Answer:
The solution x = [tex]\frac{e^{3} }{3}[/tex]
Step-by-step explanation:
Step 1:-
Given [tex]log(9 x) -log 3 =3[/tex]
we have to use formula [tex]log a-log b=log\frac{a}{b}[/tex]
[tex]log(9 x)- log 3 = log(\frac{9 x}{3} )[/tex] =[tex]3[/tex]
Again by using formula [tex]log a =b[/tex]
[tex]a = e^{b}[/tex]
so [tex]\frac{9 x}{3} =e^{3}[/tex]
step 2:-
[tex]3 x = e^{3}[/tex]
[tex]x = \frac{e^{3} }{3}[/tex]
The solution of given problem is [tex]x=\frac{e^3}{3}[/tex]
