When you are asked to expand log expressions, your goal is to express a single logarithmic expression into many individual parts or components. This process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one.

How do you expand and contract logarithms?

1) Multiplication inside the log can be turned into addition outside the log, and vice versa. 2) Division inside the log can be turned into subtraction outside the log, and vice versa. 3) An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.

How do you expand numbers?

To expand a particular number (from its standard form), we need to expand it into the sum of each digit multiplied by its matching place value (ones, tens, hundreds, and so on). These methods of writing a number in expanded notation and forms are illustrated in the examples below.

How do you expand Logs with roots?

Step 1: Rewrite the square root as an exponent of 12 . Step 2: Use the power property of logarithms to rewrite the logarithm without the 12 power. Step 3: Use the product and quotient properties of logarithms, if needed, to expand the logarithm.

What are the 7 Laws of logarithms?

Rules of Logarithms
Rule 1: Product Rule. Rule 2: Quotient Rule. Rule 3: Power Rule. Rule 4: Zero Rule. Rule 5: Identity Rule. Rule 6: Log of Exponent Rule (Logarithm of a Base to a Power Rule) Rule 7: Exponent of Log Rule (A Base to a Logarithmic Power Rule)