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DPiD Maths Mock Set 1 Paper 1 · Q2

Paper 1Powers & logarithms

Find the complete set of xx for which 16−log⁡3(x4)\displaystyle\frac1{\sqrt{6-\log_3(x^4)}} is defined.

A−27<x<27-27<x<27, x≠0x\neq0
B−33<x<33-3\sqrt3<x<3\sqrt3, x≠0x\neq0
C−9<x<9-9<x<9, x≠0x\neq0
D0<∣x∣<270<|x|<27
E−3<x<3-3<x<3, x≠0x\neq0
F∣x∣≥27|x|\geq27
G−27≤x≤27-27\leq x\leq27
H−33≤x≤33-3\sqrt3\leq x\leq3\sqrt3

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