How to use the product rule of logarithms to solve an equation, log6 (x) +log6 (x-9)=2

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Mathematics, Science
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common misconception about solving equations with two logarithms?
They can be canceled out if they have the same base.
They can be added together.
They can be subtracted from each other.
They can be divided by each other.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can logarithms with the same base be combined?
By multiplying them.
By subtracting them.
By adding them.
By dividing them.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after combining logarithms into a single logarithm?
Divide it by the base.
Convert it into a fraction.
Rewrite it in exponential form.
Add a constant to it.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of setting the quadratic equation to zero?
To find the base of the logarithm.
To apply the zero product property.
To simplify the equation.
To eliminate the variable.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the solutions to the quadratic equation obtained in the final section?
X = 9 and X = -4
X = 12 and X = -3
X = 15 and X = -2
X = 6 and X = -6
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