Logarithms
Hong Kong
Stage 4 - Stage 5
Find the Equation of a Logarithm Function
Interactive practice questions
Consider the function $F\left(x\right)=2^x$F(x)=2x.
a
Graph the function.
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b
Add the line $y=x$y=x to the graph.
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c
By reflecting points on the curve $F\left(x\right)=2^x$F(x)=2x over the line $y=x$y=x, draw the inverse of $F\left(x\right)=2^x$F(x)=2x.
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d
What sort of graph have you drawn?
Quadratic
A
Reciprocal
B
Logarithmic
C
Exponential
D
e
Hence state the equation of the logarithmic graph drawn.
Easy
4min
Consider the function $f\left(x\right)=\left(\frac{1}{5}\right)^x$f(x)=(15)x.
Easy
7min
Consider the function $f\left(x\right)=e^x$f(x)=ex.
Easy
2min
Consider the function $f\left(x\right)=5\times2^x$f(x)=5×2x shown in the graph.
Easy
6min
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