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]