Laws of logarithms

What you'll learn

1. 1

   Logarithms are like the 'undo' button for exponents. Think of a password that's been scrambled — the log unscrambles it!

2. 2

   What does log₂(8) equal?

3. 3

   Here's the first law: logₐ(x) + logₐ(y) = logₐ(x × y). Adding logs = multiplying the numbers inside.

4. 4

   Let's simplify log₃(9) + log₃(27).

5. 5

   Drag the numbers to combine these logs: log₅(2) + log₅(3).

6. 6

   What is log₂(4) + log₂(8) equal to?

7. 7

   Second law: logₐ(x) − logₐ(y) = logₐ(x ÷ y). Subtracting logs means dividing the numbers inside.

8. 8

   What is log₃(27) − log₃(3)?