TMUA 2019 Paper 2 Q15 — Worked Solution

P2·Indices, Logarithms & Exponentials·6.0Official · 2019 · Q15

log-lawssimultaneous-equationschange-of-base

The numbers

a

b

and

c

are each greater than 1. The following logarithms are all to the same base:

lo g (a b^{2} c) = 7, lo g (a^{2} b c^{2}) = 11, lo g (a^{2} b^{2} c^{3}) = 15.

What is this base?

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