WAEC 2020 · Paper 1 · Q5

Logarithms

Express $1 + 2\log_{10} 3$ in the form $\log_{10} q$ .

Worked solution (try it first)

Write 1 as a log: $1 = \log_{10} 10$ .
Move the 2 up as a power: $2\log_{10} 3 = \log_{10} 9$ .
Adding logs multiplies: $\log_{10} 10 + \log_{10} 9 = \log_{10} 90$ , option A.

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