Question

if 5^2x = 15625 , find x²​

Answer 1

Answer:

$5^{2x} =15625$.............(1)

Prime factorise 15625.

15625

/     \

5    3125  

/       \

5      625  

/       \

5      125  

/       \

5      25  

/       \

5      5  

/       \

5      1

Thus, 5×5×5×5×5×5= 15625.

5⁶=15625........substitute in 1.

$5^{2x}=5^{6}$.

Equate the bases.

2x=6

x=3

square on both sides

(x)²=(3)²

x²=9.

HOPE THIS HELPS :D

Answer 2

Answer:

so, the answer of x² is 9