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Solve for x in the following equation:
log224 - log23 = logx27
  • a)
    1
  • b)
    9
  • c)
    2
  • d)
    3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Solve for x in the following equation:log224 - log23 = logx27a)1b)9c)2...
Since the two logarithmic expressions on the left side of the equation have the same base, you can use the quotient rule to re-express them as the following:
log224 – log23 = log2(24/3) = log28 = 3
Therefore we have the following equivalent expressions, from which it can be deduced that x = 3.
logx27 = 3
x3 = 27
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Solve for x in the following equation:log224 - log23 = logx27a)1b)9c)2d)3Correct answer is option 'D'. Can you explain this answer?
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