Solve leaving answers in terms of e or ln.
a) e^(5x-3)=10
b) 5^(3+x) = 20^x-3
$\displaystyle \ln$ basically undoes $\displaystyle e$. So if you want to isolate the exponent of $\displaystyle e^x$ we can take the natural log like so $\displaystyle \ln e^x = x$. Now don't forget whatever you do to one side of an equation you have to do to the other side of the equation. Also, don't forget that $\displaystyle \ln a^x = x\cdot \ln a$. Make an attempt at these problems and post what you come up with.