Question

I need steps to solve 5e^x + 12 = 27

Answer 1

5e^x + 12 = 27 
5e^x = 27 - 12 
5e^2 = 15 
Take natutal log of both sides. 

ln(5e^x) = ln15 

x(ln5e) = ln15 
Divide both sides by ln5e to get an approximate answer, which is always the case with logs. 
NOTE: lne = 1 and so, ln5e becomes 5 times 1 or 5. 
x ≈ ln15/5 
x ≈ 0.54161004 
Round your answer to two decimal places. 
Then we get x ≈ 0.54