find log(x^2-6x-6)=0
Answers
Answer:
x=3 and X=2
Step-by-step explanation:
Answer:
The solutions to the equation are
Step-by-step explanation:
To solve the equation:
We first need to use the definition of logarithms:
is equivalent to
Using this definition, we can rewrite the equation as:
Simplifying the right-hand side, we get:
Now we can move all the terms to one side of the equation:
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = -6, and c = -7. Substituting these values, we get:
x = [6 ± sqrt((-6)^2 - 4(1)(-7))] / 2(1)
Simplifying under the square root:
x = [6 ± sqrt(60)] / 2
x = 3 ± sqrt(15)
Therefore, the solutions to the equation are:
To learn more about logarithm: https://brainly.in/question/3486338
To learn more about quadratic equations: https://brainly.in/question/5074153
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