CraigsMaths

Mathematics Teaching for Learning

Posts Tagged ‘indices’

Solving equations when the pronumeral is an exponent

Friday, September 26th, 2008

If you have an equation and want to solve for an unknown in the exponent simply take the logarithm of both sides and apply the indices/logarithms laws.

An example follows: (more…)

Sketching exponential functions summary

Saturday, September 20th, 2008

As discussed in graphs of exponential functions the most informative approach is to view the general form

y=ae^{b\left(x-c\right)}+d

as a set of transformations.

These transformations are summarised here in tabular form. (more…)

Graphs of exponential functions

Monday, August 18th, 2008

By comparing exponential and logarithmic functions with their simplest forms it is easy to sketch their graphs using a transformational approach.

(more…)

Laws of Indices and Logarithms

Monday, August 18th, 2008

Memorise these indices and logarithms laws. Indices and logarithms are two different ways of saying the same thing. For example:

y=\log_{a}x is read as “a raised to the power of y equals x“.

that is:

a^{y}=x.

(more…)