Question

5^(9x)=25^(4x+2) SHOW STEPSSSS

Answer 1

x = 4

Explanation:

`5^(9x) =25^(4x+2)`

First you need to get a common base as your number.

`5^(9x) =5^(2(4x+2))`

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.

`5^(9x) =5^(8x+4)`

Now we can use this statement:

`A^(m) =A^(n)` if
`m=n`

Using this we solve:

9x = 8x+4

-8x -8x

x = 4

Hope it helps!