Answer:
x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Using the rule of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{2}[/tex] (9x) - [tex]log_{2}[/tex] 3 = 3
[tex]log_{2}[/tex] ([tex]\frac{9x}{3}[/tex] ) = 3
[tex]log_{2}[/tex] 3x = 3
3x = 2³ = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
