Logarithmic Equations Quiz

What are two real-world applications of logarithmic equations mentioned in the video?

• Determining weight and height

• Measuring temperature and pressure

• Calculating speed and distance

• Measuring sound and earthquake intensity

What is the first goal when solving a logarithmic equation?

• To write it as a quadratic equation

• To write it as one logarithm equals a number

• To write it as a polynomial equation

• To write it as a linear equation

Why is it important to check the solution of a logarithmic equation?

• To confirm the solution is an even number

• To ensure the solution is a prime number

• To verify the solution does not make the argument negative or zero

• To ensure the solution is a whole number

What is the second goal when solving a logarithmic equation?

• To write it as one logarithm equals another logarithm

• To write it as a polynomial equation

• To write it as a quadratic equation

• To write it as a linear equation

What should you do if you have two logarithms with the same base on one side of the equation?

• Add them together

• Divide their arguments

• Subtract them

• Multiply their arguments

In the final example, what is the correct solution for the equation log base 2 of 2x plus log base 2 of x + 2 equals log base 2 of 16?

• x = 2

• x = 8

• x = -4

• x = 4

What is a common mistake when dealing with logarithmic equations?

• Cancelling out the logarithms

• Dividing the logarithms

• Multiplying the logarithms

• Adding the logarithms

What is the base of a common logarithm?

• e

• 10

• 5

• 2

What type of equation is formed when you have a quadratic expression in a logarithmic equation?

• Quadratic equation

• Exponential equation

• Polynomial equation

• Linear equation

What should you do if a solution makes the argument of a logarithm negative?

• Use the solution anyway

• Ignore the solution

• Recalculate the logarithm

• Check for calculation errors