49x = 10245 − 3x
As 1024 = 4 power 5
4 power 9x = 4 power 5(5 - 3x)
Since the base is the same(4) on both sides of the equation, the powers on both sides are supposed to be equal.
9x = 5(5 - 3x)
9x = 25 - 15x
9x + 15x = 25
24x = 25
x = 25/24
= 1 and 1/24