Question

Compare the expressions by approximating their values on a calculator. Which two expressions appear to be equivalent.

Answer 1

From the logarithm quotient rule

`\log ((x)/(y))=\log x-\log y`

we can see that

`\log ((6)/(5))=\log 6-\log 5`

Therefore, expressions a and b are equivalent.

We can corroborate this result because:

`\begin{gathered} \log ((6)/(5))=0.07918 \\ \log 6-\log 5=0.7781-0.6989=0.07925 \\ \text{and} \\ (\log 6)/(\log 5)=(0.7781)/(0.6989)=1.1132 \end{gathered}`