Answer:
x=3
Explanation:
Given the expression:
[tex]\log _2(3x-4)=\log _25[/tex]Since we have log(base 2) on each side, it implies that:
[tex]3x-4=5[/tex]Next, solve the equation for x:
[tex]\begin{gathered} 3x=5+4 \\ 3x=9 \\ x=\frac{9}{3} \\ x=3 \end{gathered}[/tex]The solution to the equation, x=3.