Question

Let loge=8 and log=s 5 What is the relationship between Pand M? O A. P= 100M P O B. P= 1,000M O C. P = 0.001M O D. P=3M P SUBLUT

Answer 1

Answer:

The relationship between P and M is:

P = 1000M

Step-by-step explanation:

Given

`\begin{gathered} \log _{}(P)/(N)=8 \\ \\ \log _{}(M)/(N)=5 \end{gathered}`

From these, we have:

`\begin{gathered} (P)/(N)=10^8 \\ \\ (M)/(N)=10^5 \end{gathered}`

So

`\begin{gathered} 10^(-8)P=N \\ \\ 10^(-5)M=N \end{gathered}`

The relationship between P and M is therefore:

`\begin{gathered} 10^(-8)P=10^(-5)M \\ Multiply\text{ both sides by 10\textasciicircum{}8} \\ P=10^3M=1000M \end{gathered}`