LAWS OF LOGARITHMS SECTION 5.6. Why do we need the Laws? To condense and expand logarithms: To Simplify!

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Presentation transcript:

LAWS OF LOGARITHMS SECTION 5.6

Why do we need the Laws? To condense and expand logarithms: To Simplify!

LAWS OF LOGARITHMS When you are adding logs multiply!! When you are subtracting logs divide!! 1. 2.

LAWS OF LOGARITHMS 3.

LAWS OF LOGARITHMS 4. The log and exponential are inverses of each other so they cancel each other! Example:

LAWS OF LOGARITHMS 5. This is because And So we get

Let’s Practice! (No Calculator) Evaluate

Let’s Practice! (No Calculator) Evaluate Simplify

Let’s Practice! (No Calculator)

Express y in terms of x:

Write as a single logarithm:

Solve:

Homework: 5.6 Page every other odd