IB skill practice

Model with logarithmic functions

Use logarithmic functions and interpret inverse relationships.

Paper 1 5 marks Difficulty 2

Interpret a logarithmic scale

A scale is modelled by \(L(x)=\log_2(x)\). Solve \(L(x)=7\) and evaluate \(L(32)\).

Worked practice: solve and check

Solve for the requested x-value, then substitute it back to check the result.