Question

use the properties of logarithms to write the following expression as a single term that doesn’t contain a logarithm.

Answer 1

Given

`e^(8-8(\ln x)+\ln y)`

Find

Express as a single term

Step-by-step explanation

now,

`\begin{gathered} e^(8-8(\ln x)+\ln y) \\ e^8.e^(-8\ln x).e^(\ln y) \\ e^8.e^{\ln(x)^(-8)}.e^(\ln y)..........................................\text{\lparen}\ln x^a=a\ln x\text{\rparen} \\ e^8.^(x)^(-8).y\text{ ..................................................\lparen e}^(\ln p)=p\text{\rparen} \\ (ye^8)/(x^8) \end{gathered}`

Final Answer

Therefore, the single expression is

`(ye^8)/(x^8)`