WAEC - Further Mathematics (2007 - No. 13)
Given that \(\log_{2} y^{\frac{1}{2}} = \log_{5} 125\), find the value of y.
16
25
36
64
Paliwanag
\(\log_{2} y^{\frac{1}{2}} = \log_{5} 125\)
\(\log_{2} y^{\frac{1}{2}} = \log_{5} 5^{3} = 3\log_{5} 5 = 3\)
\(\log_{2} y^{\frac{1}{2}} = 3 \implies y^{\frac{1}{2}} = 2^{3} = 8\)
\(y = 8^{2} = 64\)