Author note — to cover

Solving equations like 2 to the x = 32 and 2 to the x times 4 = 2 to the 7 by writing both sides over one base and equating indices; bases 2, 3, 5 and 10. Beyond N7's explicit wording, so keep it brief; logarithms are A level. Both tiers. (N6, N7)

Introduction

—coming soon—

Practice and continue

Practice

Simplifying powers review

The multiply, divide and power-of-a-power laws with number bases.

Mixed review Next lesson

Unit fractional indices

The index one over n as the nth root, derived from raising a power to a power.