Final answer:
The value of x that makes the equation 5³ˣ=244,140,625 true is 5.
Step-by-step explanation:
To find the value of x that makes the equation 5³ˣ=244,140,625 true, you need to solve for x. Start by writing 244,140,625 as a power of 5. Since 244,140,625 is divisible by 5 multiple times, we can rewrite it as (5³)⁵. Therefore, 5³ˣ = (5³)⁵. Since the bases are the same, the exponents must be equal. Therefore, x = 5.