Question

What is the solution to log (9x)-log 3 = 3?

Answer 1

Answer:

The solution x = $\frac{e^{3} }{3}$

Step-by-step explanation:

Step 1:-

Given $log(9 x) -log 3 =3$

we have to use formula  $log a-log b=log\frac{a}{b}$

$log(9 x)- log 3 = log(\frac{9 x}{3} )$ =$3$

Again by using formula $log a =b$

                                       $a = e^{b}$

so $\frac{9 x}{3} =e^{3}$

step 2:-

   $3 x = e^{3}$

  $x = \frac{e^{3} }{3}$

The solution of given problem is $x=\frac{e^3}{3}$