Question

How do you change ln(1/e^4)=-4 into equivalent expression involving an expression?

Answer 1

*exponent

Answer 2

expand log using quotient rule for logs
\[\ln \frac{1}{e ^{4}}=\ln 1 - \ln e ^{4}\]

Answer 3

ln1=0

Answer 4

hmmm.... doesnt' get equivalent statement... just an identity

Answer 5

well i think your first response is the answer

Answer 6

I think that they want to use the definition to make a statement using exponentials.

Answer 7

ln e^-4 = -4 ( always true)

Answer 8

But the answers look like this.

Answer 9

ok then use this
\[\log_{b}a= c \]
then
\(b^c=a\)

Answer 10

and ln has base e

Answer 11

yeah, that is the definition

Answer 12

\[\log_{e}(1/e^4)=-4 \]
will give
\(1/e^4=e^{-4} \)

Answer 13

so the exponential form should start with ... yeah that

Answer 14

u got that @lizzzzzzzzzzz ?

Answer 15

yes thank you :P

Answer 16

welcome :)