WAEC - Further Mathematics (2016 - No. 11)
Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).
\(-2\)
\(\frac{-1}{2}\)
\(\frac{1}{2}\)
\(2\)
Maelezo
\(5^{x} \times 5^{x+1} = 25\)
\(5^{x} \times 5^{x+1} = 5^{2}\)
\(5^{x+x+1} = 5^{2}\), equating powers,
\(2x + 1 = 2 \implies 2x = 1\)
\(\therefore x = \frac{1}{2}\)