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Work out \(k\) when \( y = kx^2\).

Use the product rule (number of ways of doing A and B = (no. for A)*(no. for B)) to count the number of ways of doing two independent tasks.

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Experimental question using JSXGraph to provide dynamic, interactive graphs.

Given a sum of logs, all numbers are integers,

$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.

Also calculate to 3 decimal places $\log_b(a)$. 

Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$