Class 10 Mathematics | Exponential Equations

Class 10 Mathematics · Indices

Exponential Equations

Four ways to solve · Proofs with fractional indices

By the end of this lesson you can

🔍

Recognise an exponential equation

⚖️

Solve by making the bases equal

🧲

Solve by taking out a common power

🔁

Solve by substituting to get a quadratic

🧊

Prove relations by cubing

⬆️Exponential

\( 2^x = 8 \)

Base fixed, index unknown

⬇️Not exponential

\( x^2 = 9 \)

Base unknown, index fixed

The notes are free to read in full.

Presenter notes: Today we learn to solve equations where the unknown sits in the index, and we also prove relations that use fractional indices.