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Find x if log₉x = 1.5

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MATHS

Find x if log₉x = 1.5

A. 27

B. 15

C. 3.5

D. 32

QUICK ANSWER…

A

DETAILS…

If log₉X= 1.5, X will be = 27.

Recall that one of the rules of logarithm states that:

If Logₐb = m, then b = aᵐ

Therefore, applying this rule, we have:

Log₉X = 1.5

9¹·⁵ = X

X = 9³‘²

X = (3²)³²

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X = 3³ = 27

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is not correct.
  3. C is incorrect.
  4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

  • The basic rule of logarithm used here is stated as: If Logₐb = m, then b = aᵐ.

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/ culled from 2021 JAMB-UTME MATHEMATICS question 36 /

1 Answers

  1. 0 Votes Thumb up 0 Votes Thumb down 0 Votes

    If Logₐb = m, then b = aᵐ.

    Admin - Mar 30, 2022 | Reply


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