Answer:
x = 38
Step-by-step explanation:
using the law of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex], hence
[tex]log_{4}[/tex](2x - 12) = 3 ⇒ 2x - 12 = [tex]4^{3}[/tex] = 64
add 12 to both sides
2x = 76 ( divide both sides by 2 )
x = 38
