Question

. If 5^×= 3125, then the value of 5(x-3) is
(a) 25
(b) 125
(c) 625
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Answer 1

$\huge \fbox \red{answer}$

The answer is option a

${5}^{x} = 3125$

${5}^{x} = {5}^{5}$

$x = 5$

${5}^{(x - 3) = {5}^{(5 - 3)} }$

$= {5}^{2} = 25$

Have a good day!

Answer 2

Answer:

5^x = 3125

5^x = 625 * 5

= 25² * 5

= (5²)² * 5

= 5^4+

5^x = 5⁵

Since bases are same, powers can be equated

So x= 5

So 5^(x-3)

= 5^(5-3)

= 5²

= 25 ans.

Hope this helps ☺️