Question

Solve In(5x + 3) = 2.5​

Answer 1

Answer:

$x=\frac{e^{2.5}-3}{5}$

Step-by-step explanation:

Let y = 5x + 3
Then we get
㏑(y) = 2.5

Using exponentiation,

$e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5$

This works out to x = 1.83649879