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Solve the equation log 3(x-8)=2.

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eligia | Student, College Freshman | (Level 1) Honors

Posted March 31, 2010 at 1:36 AM via web

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Solve the equation log 3(x-8)=2.

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted March 31, 2010 at 1:46 AM (Answer #1)

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Before solving the equation, which is a logarithmical equation, we have to find out the restrictive domain for the x values.

For this reason, we have to impose the condition that x-8>0.

x>8, that means that x belongs to the interval (8, +inf).

Now, we can solve the equation:

x-8=3^2

x-8=9

x=9+8

x=17

The solution is acceptable because is belonging to the interval of allowed x values.

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isbeatbox | Student, Grade 11 | (Level 2) eNoter

Posted March 31, 2010 at 2:05 AM (Answer #2)

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3x-24=2

3x=26

x=8.66....   or x=8+2/3

3((8+2/3)-8)=2

26-24=2

2=2

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