Question

If x=5^a, find the value of 5x. How?

Answer 1

`5x = 5^((a+1))`

Explanation:

Here is a problem with the concept of properties of the exponent.

We are given
`x = 5^(a)` and we have to find the value of 5x.

Now,
`5x = 5 * 5^(a)` {Since we are given that
`x = 5^(a)`}

⇒
`5x = 5^(1) * 5^(a)` {Since we can write
`x = x^(1)`}

⇒
`5x = 5^((a+1))` {Since we know the formula of exponent as
`x^(m) * x^(n) = x^((m + n))`}

(Answer)