Question

evaluate the expressions as rational numbers by using properties of exponents and logs? ln(1/(e^2))

Answer 1

the first rule to use would be the difference rule
ln1-lne^2, then cross out the ln and e because they are inverses of each other
ln1-2

Answer 2

Christal,

The key to log is understanding some of the basics. Consider some of the following:
\[\ln {ab} = \ln{a} + \ln{b}\]
\[\ln{a/b} = \ln{a}-\ln{b}\]
\[\ln{e^n} = n\]

So, just re-write the original equation using those laws:
\[\ln(1/e^2) = \ln{1}-\ln{e^2}\]

From the second and third rules above, it simplifies to:
\[\ln{1}-2\]

Hope that helps

Answer 3

it did! thank you