Neco 2021 Mathematics Question 3

Practice essay / theory question 3 from the 2021 Neco Mathematics examination. This question covers Indices, Logarithms, Surds .

Neco 2021 Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 3 NECO • 2021 • MATHEMATICS • essay

A positive real number N satisfies the equation N^{\log_{10} N}=1000.

( a )

Find the value of N, expressing your answer in exact form.

( b )

Using the value of N obtained in part (a), evaluate \log_{N} 10 and give your answer in simplest surd form.

( c )

Hence, find the value of (\log_{N} 10)^{2}.

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This is Neco 2021 Mathematics Question 3. It is one of the essay questions from the 2021 Neco Mathematics examination.

The question covers Indices, Logarithms, Surds .

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