explore the inverse relationship between exponential functions and logarithmic functions and the solution of related equations
Elaborations
using the definition of a logarithm and the exponent laws to establish the logarithm laws
evaluating 10x for decimal values of x and relating this to a logarithm base 10 scale; solving exponential equations algebraically using logarithms with base 10, for example, 5000×1.01x=10000⇒x=log10(2)log10(1.01)≈69.66 ; and connecting to the graph of the corresponding function
Code
VC2M10AA04
Curriculum resources and support
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