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James Chen TMUA Paper 1 · Q3

Paper 1Powers & logarithms

If π2≈g\pi^2\approx g, π>0\pi>0, then which estimate for ln⁡(π)\ln(\pi) can be deduced?

Aln⁡(π)≈g2\ln(\pi)\approx\dfrac g2
Bln⁡(π)≈ln⁡(g)\ln(\pi)\approx\ln(\sqrt g)
Cln⁡(π)≈ln⁡(g)\ln(\pi)\approx\ln(g)
Dln⁡(π)≈ln⁡g\ln(\pi)\approx\sqrt{\ln g}

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