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Gresty Academy Paper 1 · Q7

Paper 1Powers & logarithms

For what positive values of aa does

ln⁡(x)=ax3\ln(x)=ax^3

have no real solution for xx?

[Note: ln⁡(x)\ln(x) is log⁡ex\log_e x]

Aa>1e3a>\frac1{\sqrt[3]e}
Ba>1ea>\frac1e
Ca>13ea>\frac1{3e}
Da>13a>\frac13
Ea>e3a>\sqrt[3]e

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