Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/21) | Q#1

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Question

     i.       It is given that x satisfies the equation . Find the value of and, using  logarithms, find the value of x correct to 3 significant figures.

   ii.       Hence state the values of x satisfying the equation .

Solution


i.
 

We are given;

We can write it as;

Let , then;

Now we have two options.

Since ;

Taking natural logarithm of both sides;

Since logarithm of negative numbers is not possible, the only possibility is; 

Power Rule;

   ii.
 

We are required to state the values of x satisfying the equation

From (i) we have; 

Therefore, for the equation the variable  x may take either positive or negative  value of 1.77, hence;

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