Answer:
The value of x is 6
Step-by-step explanation:
The given equation is
\(\log_622=\log_6(5x-8)\)
In both sides of the equation, the base of log is 6. Hence, we can eliminate it from both sides and we are left with
\(22=5x-8\)
Add 8 to both sides
\(30=5x\)
Divide both sides by 5
\(x=\frac{30}{5}\\\\x=6\)