Neco 2018 Further Mathematics Question 2

Practice essay / theory question 2 from the 2018 Neco Further Mathematics examination. This question covers Indices, Logarithms, Surds .

Neco 2018 Further Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 2 NECO • 2018 • FURTHER_MATHEMATICS • essay

A certain investment grows according to the law $P = P_{0}(1+i)^{n}$, where $P_{0}$ is the initial amount, $i$ is the annual rate of increase (expressed as a surd) and $n$ is the number of years.\n\nIt is observed that after 2 years the amount is $\$5,000$ and after 5 years the amount is $\$8,000$.\n\nAnswer the following:

( a )

Determine the value of $i$ in its simplest surd form.

( b )

Using the value of $i$ found in part (a), evaluate $\log_{\sqrt{2}}(i+1)$ and express your answer in terms of $\log_{\sqrt{2}}5$.

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This is Neco 2018 Further Mathematics Question 2. It is one of the essay questions from the 2018 Neco Further Mathematics examination.

The question covers Indices, Logarithms, Surds .

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