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What is the solution of log x^2 + log x = log 27. How many solutions does the equation...

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user1688 | eNotes Newbie

Posted August 20, 2013 at 7:21 AM via web

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What is the solution of log x^2 + log x = log 27. How many solutions does the equation have.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 20, 2013 at 7:23 AM (Answer #1)

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The equation log x^2 + log x = log 27 has to be solved for x.

Use the property log a + log b = log(a*b)

log x^2 + log x = log 27

=> log(x^2*x) = log 27

=> log x^3 = log 27

=> x^3 = 27

=> x = 3

The given equation has one solution, x = 3

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