Given 2^p=5^k=10^r , express p in terms of k and r

we are given

Let's assume a term

we can write as

now, we know that

so, we can replace 2^p

now, we can solve for p

we can take ln on both sides

now, we can use property of log

we can simplify it further

we get

................Answer

step-by-step explanation:

-2 is the right