Today’s lesson was about solving equations when the variable is in the exponent. The trick is to get both sides of the equation to be in terms of the same base, which is why having a good familiarity with various powers of bases 2-10 is so useful. Refer to your reference sheet from the start of the unit!

## Today’s Files

- Copy of class notes
- HW 4.14 – Solving Exponential Equations Using Base Equality
- Lesson Video
- Video Archive
- Adding/subtracting radicals
- Multiplying/distributing radicals
- Rationalizing denominators
- Evaluating nth roots
- Simplifying radicals with variables
- Simplifying radicals with negative radicands
- Multiplying complex numbers
- Powers of i
- Solving quadratics with non-real roots
- Solving radical equations (examples beyond the 6 minute mark are beyond what we will do in this class)

## Cumulative IXL Modules

- Multiply complex numbers
- Divide complex numbers
- Powers of i
- Solve a quadratic equation by factoring
- Solve a quadratic equation using the quadratic formula
- Solve radical equations
**Solve equations using base equality**- Simplify radical expressions with variables I
- Nth roots
- Multiply radical expressions
- Divide radical expressions
- Add and subtract radical expressions
- Simplify radical expressions using the distributive property