Graphs of y = log_a x and its translations, logarithmic scales and logarithmic models

What this note covers

1. The parent logarithmic graph
2. Horizontal and vertical translations
3. A logarithmic model from stated conditions
4. Interpreting a logarithmic measurement scale
5. Reading logarithmic axes and transformed plots
6. Solving a model threshold and respecting its range
7. From a shifted logarithmic graph to a calibrated scale
8. Checking asymptotes, axes and model thresholds

8 sections · 10 key terms & formulas · 6 common mistakes