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tmua.fyi Mock Paper 2 (2) · Q7

Paper 2Powers & logarithms

Consider the following argument.

Line 1: 14>18\frac14>\frac18.

Line 2: (12)2>(12)3(\frac12)^2>(\frac12)^3.

Line 3: Taking log⁡10\log_{10} of both sides, 2log⁡1012>3log⁡10122\log_{10}\frac12>3\log_{10}\frac12.

Line 4: Dividing both sides by log⁡1012\log_{10}\frac12, 2>32>3.

At which line does the first error occur?

ALine 1
BLine 2
CLine 3
DLine 4
Ethere is no error

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