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If log318 log33 - log3x 3 Find x - JAMB Mathematics 2011 Question

If log318 + log33 - log3x = 3, Find x.
A
1
B
2
C
o
D
3
correct option: b

log({3}^{18}) + log({3}^{3}) - log(_{3}^{x}) = 3

log({3}^{18}) + log({3}^{3}) - log(_{3}^{x}) = 3log33

log({3}^{18}) + log({3}^{3}) - log(_{3}^{x}) = log333

log3((\frac{18 \times 3}{X})) = log333

(\frac{18 \times 3}{X}) = 33

18 x 3 = 27 x X

x = (\frac{18 \times 3}{27})

= 2

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