TMUA Official 2019 Paper 2 · Question 15

Official papers

Official 2019 Paper 2 · Q15

Paper 2Powers & logarithms

The numbers $a$ , $b$ and $c$ are each greater than 1.

The following logarithms are all to the same base:

\log(ab^2c)=7

\log(a^2bc^2)=11

\log(a^2b^2c^3)=15

What is this base?

a

b

c

DIt is possible to determine the base, but the base is not

a

b

c

EThere is insufficient information given to determine the base.

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