Tuesday, May 28, 2013

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

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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