Expanding and Condensing Logarithmic Expressions

What is the result of combining logarithms when multiplying two terms?

• You divide the logarithms.

• You subtract the logarithms.

• You add the logarithms.

• You multiply the logarithms.

What does log base b of mn equal?

• log base b of m - log base b of n

• log base b of m / log base b of n

• log base b of m + log base b of n

• log base b of m * log base b of n

How do you handle logarithms when dividing two terms?

• Combine them by addition.

• Combine them by subtraction.

• Combine them by multiplication.

• Leave them as is.

What can you do with the exponent in a logarithm?

• Divide the logarithm by the exponent.

• Ignore it.

• Multiply it by the base.

• Bring it to the front as a coefficient.

If you have log base 5 of x cubed, how can you rewrite it using the power rule?

• log base 5 of x - 3

• 3 log base 5 of x

• log base 5 of 3x

• log base 5 of x / 3

How do you expand log base 2 of 5ab?

• log base 2 of 5 + log base 2 of a + log base 2 of b

• log base 2 of 5ab

• log base 2 of 5 * log base 2 of a * log base 2 of b

• log base 2 of 5 - log base 2 of a - log base 2 of b

How do you condense log base 5 of 7 plus log base 5 of x cubed?

• log base 5 of 7x cubed

• log base 5 of 7 / x cubed

• log base 5 of 7 + x

• log base 5 of 7 - x cubed

How do you rewrite log base 6 of m to the one half divided by n cubed?

• log base 6 of m to the one half - n cubed

• log base 6 of m to the one half / n cubed

• log base 6 of m - log base 6 of n cubed

• log base 6 of m / n cubed

What is the result of log base 81 of 27 using the change of base formula?

• 3/4

• 2/3

• 1/2

• 4/3

What is the change of base formula used for?

• To expand logarithms into multiple terms.

• To convert logarithms to a different base for easier calculation.

• To simplify logarithms to their base 10 equivalents.

• To condense multiple logarithms into a single term.