Question

ln e = ln sqrt 7/x-ln e find the exact solution.

Answer 1

lne=1
1=ln(sqrt(7)/x)-1

Answer 2

so how do i figure out what x equals?

Answer 3

\[\ln e =\ln \frac{ \sqrt{7} }{ x }-\ln e\] this is the equation that I have to find the exact solution for. I'm sorry I didn't know I could make the equation look like this.

Answer 4

Okay, then you can use some log laws to simplify it: log(a/b) = log a - log b
\[1 =\ln \frac{ \sqrt{7} }{ x }-1\] \[1 =\ln \sqrt{7} - \ln{ x }-1\]
\[\ln x = \ln \sqrt7 - 2\]
Then take both sides to the power of e.