Question

e^x=25

Answer 1

i dont know how to do these but this site may help...
https://mathway.com/

Answer 2

you need to take a natural log of both sides.

\(\large\color{black}{ \displaystyle e^x=25\\[0.5em] }\)
\(\large\color{black}{ \displaystyle \color{red}{\rm ln(}e^x\color{red}{\rm )}=\color{red}{\rm ln(}25\color{red}{\rm )}\\[0.5em] }\)

Answer 3

then you have 2 know 2 rules:

\(\large\color{black}{ \displaystyle {\small \bullet}~~\log_{a}(b^c)~~\Longrightarrow ~~ c\log_{a}(b)\\[0.5em] }\)
(the exponent of the log, is multiplied times the log on the outside)


\(\large\color{black}{ \displaystyle {\small \bullet}~~\log_{a}(a)=1\\[0.5em] }\)
(If base and the log are same than the log is equivalent to 1. This is true for any real number \(a\) that is greater than zero, with an exception that \(a\) can't equal 1.)