WAEC - Mathematics (2005 - No. 12)

Solve the equation 2\(^7\) = 8\(^{5-x}\)
\(\frac{5}{8}\)
\(\frac{8}{3}\)
\(\frac{3}{2}\)
\(\frac{15}{4}\)

Explanation

2\(^7\) = 8\(^{5-x}\)

2\(^7\) = 2\(^{3(5 - x)}\)

7 = 15 - 3x

7 - 15 = - 3x

-8 = -3x

x = \(\frac{8}{3}\)

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