Content description VC2M10AA04

Mathematics Version 2.0 / Level 10A / Algebra

Content description

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 $10^{x}$ 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, $5000 \times {1.01}^{x} = 10 000 \Rightarrow x = \frac{{l o g}_{10} (2)}{{l o g}_{10} (1.01)} \approx 69.66$ ; and connecting to the graph of the corresponding function

Code

VC2M10AA04

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