topic badge
CanadaON
Grade 12

Find and use a log equation

Interactive practice questions

Consider the function $F\left(x\right)=2^x$F(x)=2x.

a

Graph the function.

Loading Graph...
b

Add the line $y=x$y=x to the graph.

Loading Graph...
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.

Loading Graph...
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 $f\left(x\right)=e^x$f(x)=ex.

Easy
2min

The graph of $f\left(x\right)=\log x$f(x)=logx (grey) and $g\left(x\right)$g(x) (black) is drawn below.

Easy
1min

The graph of $f\left(x\right)=\log x$f(x)=logx (grey) and $g\left(x\right)$g(x) (black) is drawn below.

$g\left(x\right)$g(x) is a transformation of $f\left(x\right)$f(x).

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

12F.A.2.3

Determine, through investigation using technology, the roles of the parameters d and c in functions of the form y = log_10(x – d) + c and the roles of the parameters a and k in functions of the form y = alog_10(kx), and describe these roles in terms of transformations on the graph of f(x)=log_10(x)

What is Mathspace

About Mathspace