IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Number-Logarithms
Topic :Number- Weightage : 21 %
All Questions for Topic : Laws of exponents, including fractional/rational exponents Logarithms, including laws of logarithms and the use of technology to find values Upper and lower bounds
Question
Question
The table below shows an example of a completed addition grid.
Write down the values of a, b and c. in a simplified exact form.
▶️Answer/Explanation
Ans:
$a= 3log(2)-log(16)$
since, $log(16)=log(2)^4\Rightarrow4log(2)$
So, $a=-log(2)$
$b=log(6)+log(2)$
$c=log(16)+log(2)\Rightarrow 5 log(2)$
Question
A skateboard ramp set is built using functions provided in the diagram below:
Question (a)
Determine the value of $a$.
▶️Answer/Explanation
Ans:
$4^a=2$ from graph
taking log both sides,
\( \begin{aligned} & 4^a=2 \\ & \log \left(4^a\right)=\log 2 \\ & a \log \left(2^2\right)=\log 2 \\ & 2 a \log 2=\log 2 \\ & a=\frac{1}{2}\end{aligned} \)