Topic explanation

Standard explanation

Exponential and logarithmic functions with the same valid base are inverses and reflect in y=x.

Key points

• Exponential and logarithmic graphs
• rule
• worked example
• Exponential and logarithmic graphs: Exponential and logarithmic functions with the same valid base are inverses and reflect in y=x.
• CONCEPT AND RULE: Exponential and logarithmic functions with the same valid base are inverses and reflect in y=x.
• METHOD: For exponential and logarithmic graphs, identify the given information and required result. Select t
• Exponential and logarithmic functions with the same valid base are inverses and reflect in y=x.
• Worked pattern: 2^x=8 gives x=3, while log_2(8)=3.

Labelled diagram