Question

To Enter the value of n that makes the equation: 4^5.4^n=4^8 true

Answer 1

`4^2\text{ }*4^n=4^8`

Since both sides have the same base (4), we can add the exponents

`4^(5+n)=4^8`
`5+n=8`

subtract 5 from both sides:

`5+n-5=8-5`
`n=3`