Answer:
x = 4
Step-by-step explanation:
[tex]5^{9x} =25^{4x+2}[/tex]
First you need to get a common base as your number.
[tex]5^{9x} =5^{2(4x+2)}[/tex]
The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.
[tex]5^{9x} =5^{8x+4}[/tex]
Now we can use this statement:
[tex]A^{m} =A^{n}[/tex] if [tex]m=n[/tex]
Using this we solve:
9x = 8x+4
-8x -8x
x = 4
Hope it helps!
