Question

Hello friends, please, I need to know how to get the answer out of this exponential equation?

Answer 1

`x=3/4`

Explanation:

Recall that `sqrtx=x^(1/2), and x^a*x^b=x^(a+b)`,

`5^(2x+1)=25sqrt5`
`=> 5^(2x+1)=5^2*5^(1/2)=5^(2+1/2)=5^(5/2)`
`=> 2x+1=5/2`
`=> 2x=5/2-1=3/2`
`x=3/2*1/2=3/4`