newuser: e^x+ln(x)=7
Hi and welcome!, (you need a better username than that )
Your equation can be written
0 = e^x+ln(x)-7
If you graph y=e^x+ln(x)-7
then the solution to your equation will be the x value when the graph intersects with y=0
that is, the x intercept will be the solution to your equation.
I used an online graphing program to do this and here is the web address for your graph.
https://www.desmos.com/calculator/qck7dx58wo
The graph shows you that the approx value of x is 1.854.
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There is no easy manual way to get this answer,
to get an approximation manually you would need to use Newton's Method.
http://en.wikipedia.org/wiki/Newton%27s_method
If you want more help you can post again.