Answer:
[tex]\frac{629}{2}[/tex]
Step-by-step explanation:
So, our equation is:
[tex]log_5(\frac{2x-4}{5}) = 3[/tex]
In exponetial form, this looks like:
[tex]5^3=\frac{2x-4}{5}[/tex]
Now lets cube the 5:
[tex]125=\frac{2x-4}{5}[/tex]
Next, we can multiply the denominator on the right side by 5:
[tex]625=2x-4[/tex]
We need to now get x alone by adding 4 to both sides:
[tex]629=2x[/tex]
Finally, we divide by x's coefficent, 2, to get:
[tex]x=\frac{629}{2}[/tex]
Hope this helps! :3
