Question 38
IndicesIf (25)x − 1 = 64 (5/2)6, then x has the value
- A.7
- B.4
- C.32
- D.64
- E.5.
Show the answer and explanation
Answer: B (4)
Explanation
64 × (5/2)⁶ = 64 × 5⁶/64 = 5⁶. So 5^(2x − 2) = 5⁶, 2x − 2 = 6 and x = 4.
If (25)x − 1 = 64 (5/2)6, then x has the value
Answer: B (4)
64 × (5/2)⁶ = 64 × 5⁶/64 = 5⁶. So 5^(2x − 2) = 5⁶, 2x − 2 = 6 and x = 4.