# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2017 | May-Jun | (P2-9709/21) | Q#1

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**Question**

Given that 5^{x} = 3^{4y}, use logarithms to show that y = mx and find the value of the constant m correct

to 3 significant figures.

**Solution**

We are given;

Taking natural logarithm of both sides;

Power Rule;

We compare this equation with;

Therefore;

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