Answer:
The value of x is 6
Step-by-step explanation:
The given equation is
[tex]\log_622=\log_6(5x-8)[/tex]
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
[tex]22=5x-8[/tex]
Add 8 to both sides
[tex]30=5x[/tex]
Divide both sides by 5
[tex]x=\frac{30}{5}\\\\x=6[/tex]
