Question

Given that log (p, x) =20 and log (p, y) =5 find log (x, y)

Answer 1

1/4

Explanation:

The change of base formula for logarithms is ...

`\log_b(a)=(\log(a))/(\log(b))`

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Using this with the given values, we have ...

`\log_x(y)=(\log_p(y))/(\log_p(x))=(5)/(20)\\\\\boxed{\log_x(y)=(1)/(4)}`