Question

how do you simplify ln square root e, and is the answer e^2?

Answer 1

no it is \[\frac{1}{2}\]

Answer 2

\[ln(x)=y\] same as \[e^y=x\]
\[ln(\sqrt{e})=ln(e^{\frac{1}{2}})\]

Answer 3

this is starting to make a lot more sense thanx a lot!

Answer 4

and since clearly \[e^{y}=e^{\frac{1}{2}}\]
makes
\[y=\frac{1}{2}\]
we get \[ln(e^{\frac{1}{2}})=\frac{1}{2}\]

Answer 5

this of it this way. \[ln(x)\] is the power you raise e to to get x. therefore \[ln(e^y)=y\]

Answer 6

just like \[log_3(3^2)=2\]

Answer 7

and \[log_{10}(.001)=-3\] since \[10^{-3}=.001\]

Answer 8

10 ^-4 = 0.0001?

Answer 9

yes, since \[10^{-4}=\frac{1}{10^4}=\frac{1}{10000}=.0001\]