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If log₃18 + log₃3 - log₃x =...

If log₃18 + log₃3 - log₃x = 3, Find x.

A.

1

B.

2

C.

0

D.

3

View answer & explanation

Correct answer is 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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