Question

Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x

Answer 1

`25^{(1)/(2)} * 5^(-3) = 5^x`


`(5^2)^{(1)/(2)} * 5^(-3) = 5^x`


`5^1 * 5^(-3) = 5^x`


`5^(1 - 3) = 5^x`


`5^(-2) = 5^x`


`x = -2`