Building blocks

# See the power Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Warm-up

Some equations involving powers or indices can be solved “by inspection” if we are familiar with the powers of common numbers. Try these

1. $2^x = 16$

2. $10^x = 0.001$

3. $5^x = 125$

4. $\big(\frac{1}{3}\big)^x = 81$

Some other equations look very similar but are not so easy to solve. Think about this one $10^x = 562$ What could you do to find an approximate answer? How accurate could you make your estimate?