To solve this equation, we first need to isolate the logarithmic term on one side of the equation.
Log3(x2-11x+27) = 2
Using the properties of logarithms, we can rewrite this equation in exponential form:
3^2 = x^2 - 11x + 27
Simplifying:
9 = x^2 - 11x + 27
Rearranging to standard form:
x^2 - 11x + 18 = 0
Now we can factor the quadratic equation:
(x - 2)(x - 9) = 0
Setting each factor to zero:
x - 2 = 0 or x - 9 = 0
So the solutions to the equation are:
x = 2 or x = 9
To solve this equation, we first need to isolate the logarithmic term on one side of the equation.
Log3(x2-11x+27) = 2
Using the properties of logarithms, we can rewrite this equation in exponential form:
3^2 = x^2 - 11x + 27
Simplifying:
9 = x^2 - 11x + 27
Rearranging to standard form:
x^2 - 11x + 18 = 0
Now we can factor the quadratic equation:
(x - 2)(x - 9) = 0
Setting each factor to zero:
x - 2 = 0 or x - 9 = 0
So the solutions to the equation are:
x = 2 or x = 9