Stage 24 · Exponential & Logarithmic Functions

24.3.5 The Log of a Power and Changing the Base

24.3 Logarithms: Asking the Exponential Question Backward

Point 5 of 6

24.3.5 The Log of a Power and Changing the Base

Core idea

The exponent of a power moves out front, log_a(M^n)=n·log_a M, and to switch bases you bridge across with the change-of-base formula using division.

Module goal. Introduce logarithms as the inverse of exponentiation, master the idea and its operation rules, the central hub of this stage
eastmath.com · 24.3 Logarithms: Asking the Exponential Question Backward · 24.3.5 The Log of a Power and Changing the Base