If ₃ x = ₉ 3, find the value of x.

Correct Answer is : 3 123^{\;1/2}321

Correct Answer is : 3 123^{\;1/2}321

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WAEC Further Mathematics 2015 Paper

Question : 4

Total: 40

\log_{3} x = \log_{9} 3

, find the value of x.

Solution:

$\log_{3} x = \log_{9} 3 \Rightarrow \log_{3} x = \log_{9} 9^{\frac{1}{2}} = \frac{1}{2}\log_{9} 9$

$\log_{3} x = \;\frac{1}{2}$

$\therefore x = 3^{\frac{1}{2}}$

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