Question

16. If (25)^x = 25/(5)^x​

Answer 1

Answer:

25^x×5^x=5^2

2x=0

x=0

Answer 2

Answer:

x = 0

Step - by - step explanation :

${(25)}^{x} = ({ \frac{25}{5} )}^{x} \\ = > {( {5}^{2} )}^{x} = {(5)}^{x} \\ = > {(5)}^{2x} = {(5)}^{x} \\ = > 2x = x \\ = > 2x - x = 0 \\ = > x = 0 \\ Since, \: any \: number \: raised \: to \: power \: 0 \: is \: equal \: to \: 1 \\ = > {a}^{0} = 1$

Proof :

$Proof :{(25)}^{x} = { (\frac{25}{ 5} )}^{x } \\ = > {(25)}^{0} = {(5)}^{0} \\ = > 1 = 1 \\ as \: {a}^{0} = 1$

Hope it helps.......✔✔✔

PLEASE FOLLOW ME......