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Given that log\(_3\) 27 = 2x + 1, find the value of x.

Mathematics
WAEC 2022

Given that log\(_3\) 27 = 2x + 1, find the value of x.

  • A. 0
  • B. 1
  • C. 2
  • D. 3
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Correct Answer: Option B
Explanation

Recall that: log\(_3\) 27 → log\(_3\)3\(^3\)

3log\(_3\)3 → 3 * 1

= 3

Then log\(_3\) 27 = 2x + 1

→ 3 = 2x + 1 

3 - 1 = 2x

2 = 2x

1 = x


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