Question

25 x 5to the power of x=5to the power of 8

Answer 1

Answer:

6

Step-by-step explanation:

25 * 5ˣ = 5⁸

5² * 5ˣ = 5⁸ (∵aⁿ * a ˣ = a ⁿ⁺ˣ)

5ˣ⁺² = 5⁸

=> x + 2 = 8 (∵ When bases are same, powers are equal)

=> x = 6

Answer 2

Answer:

• 25×5^x=5^8
• 5^2×5^x=5^8
• 5^2+x= 5^8
• comparing both sides we get
• X+2=8
• X=8-2=6