Kissing Curves

Saltire Software, home of Geometry Expressions and GXWeb

Download a Geometry Expressions Model for for Kissing Curves

Symbolic computations on this page use the GeoGebra CAS engine.

  
 

At exactly what values of a and x do the curves \(y = a^x\) and \(y = log_a(x)\) kiss?

Drag the slider value for \(a\) to explore this problem using the graph, then try to answer the questions that follow.

 

 

This document requires an HTML5-compliant browser.
a
0 3.005 5
x
0 3.005 5


 


 

App generated by Geometry Expressions

 

When a = 3.00 and x = 3.00 then ax = 27.0 and loga(x) = 1.00

 
 

 

 

Use the MathBox above to enter a function for graphing, table of values OR expressions for CAS: Define functions, simplify expressions, solve equations...
For example, enter Solve(x^2-x-1=0) and press the CAS button. More?

Back to Top

Jump to GXWeb

 

 

Assessment

Back to Top

Jump to Model

Jump to GXWeb

 
 

Share using QR Codes

Back to Top

Jump to Model

Jump to GXWeb

 

 

Construct your own Model with GXWeb

Back to Top

Jump to Model

 

Symbolic computations on this page use the GeoGebra CAS engine.


©2020 Compass Learning TechnologiesLive Mathematics on the WebGeometry Expressions Showcase ← Kissing Curves