JAMB - Mathematics (1978 - No. 34)
If (25)\(^{x - 1}\) = 64(\(\frac{5}{2}\))\(^6\), then x has the value
7
4
32
64
5
Explicació
(25)\(^{x - 1}\) = 64(\(\frac{5}{2}\))\(^6\)
(\(\frac{5}{2}\))\(^6\) = (\(\frac{5^6}{64}\))
25\(^{x - 1}\) = 64 x (\(\frac{5^6}{64}\))
5\(^{2x - 2}\) = 5\(^6\)
2x - 2 = 6
= \(\frac{8}{2}\)
= 4
(\(\frac{5}{2}\))\(^6\) = (\(\frac{5^6}{64}\))
25\(^{x - 1}\) = 64 x (\(\frac{5^6}{64}\))
5\(^{2x - 2}\) = 5\(^6\)
2x - 2 = 6
= \(\frac{8}{2}\)
= 4