Logarithm Expansion Quiz

What is the initial expression that needs to be expanded in this lesson?

• log base 3 of X to the 2nd y plus log base 2 of Z to the 5th divided by Y

• log base 3 of X to the 3rd y plus log base 2 of Z to the 4th divided by Y

• log base 2 of X to the 3rd y plus log base 3 of Z to the 4th divided by X

• log base 2 of X to the 4th y plus log base 3 of Z to the 3rd divided by Z

How do you expand the logarithm of a product?

• By subtracting the logarithms of the individual parts

• By adding the logarithms of the individual parts

• By multiplying the logarithms of the individual parts

• By dividing the logarithms of the individual parts

What is the property used to expand a logarithm with a fraction in its argument?

• Logarithm of the denominator minus the logarithm of the numerator

• Logarithm of the numerator minus the logarithm of the denominator

• Sum of the logarithms of the numerator and denominator

• Product of the logarithms of the numerator and denominator

What happens to the exponent in a logarithmic expression during expansion?

• It remains unchanged

• It is subtracted from the logarithm

• It is added to the logarithm

• It is moved to the front as a multiplier

What is the final expanded form of the given logarithmic expression?

• 3 times log base 3 of X plus log base 3 of y plus 4 log base 2 of Z minus log base 2 of X

• 3 times log base 2 of X plus log base 2 of y plus 4 log base 3 of Z minus log base 3 of X

• 2 times log base 3 of X plus log base 3 of y plus 3 log base 2 of Z minus log base 2 of X

• 4 times log base 2 of X plus log base 2 of y plus 3 log base 3 of Z minus log base 3 of X