How to condense logarithmic expressions

What is the primary goal of condensing logarithmic expressions?

• To expand multiple logarithms into separate expressions

• To combine multiple logarithmic expressions into one

• To change the base of logarithms

• To eliminate logarithms entirely

When condensing logarithms, what must be true about their bases?

• They must be different

• They must be the same

• They must be irrational

• They must be integers

Which property allows the sum of two logarithms to be rewritten as a single logarithm?

• Quotient property

• Power property

• Product property

• Change of base property

What should you do first when following the order of operations in condensing logarithms?

• Handle exponents

• Look inside the parentheses

• Rewrite addition as multiplication

• Change the base

How should addition and subtraction be treated when condensing logarithms?

• As separate terms

• As products and quotients

• As constants

• As powers and roots