Solve Logarithmic Equations with Logs on Both Sides

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Mathematics
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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 does the one-to-one property of logarithms state?
If two logarithms have the same base, their arguments must be equal.
Logarithms with different bases can be equated.
Logarithms are only defined for positive numbers.
The base of a logarithm can be any positive number.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the equation log base 5 of (4X - 7) = log base 5 of (X + 5)?
Subtract X from both sides.
Multiply both sides by 5.
Set the arguments of the logarithms equal to each other.
Add 7 to both sides.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After equating the arguments of the logarithms, what type of equation do we get?
Linear equation
Polynomial equation
Exponential equation
Quadratic equation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is used to isolate the variable X in the equation 3X = 12?
Addition
Subtraction
Multiplication
Division
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution for X in the equation 3X = 12?
X = 4
X = 6
X = 3
X = 5
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