Respuesta :

Here, the solution is [tex]\frac{1000}{3}[/tex]

Step-by-step explanation:

Given,

log(9x) - log3 = 3

To find the value of x

Formula

log a - log b = log [tex]\frac{a}{b}[/tex]

log a = b ⇒a = [tex]10^{b}[/tex]

Now,

log(9x) - log3 = 3

or, log [tex]\frac{9x}{3}[/tex] = 3

or, log 3x = 3

or, 3x = [tex]10^{3}[/tex] [ we take base as 10]

or, x = [tex]\frac{1000}{3}[/tex]