How do you solve 19 + 2 ln x = 2519+2lnx=25?

1 Answer
Apr 29, 2016

x=e^3x=e3

Explanation:

First of all, let us start by doing simple changes:
19+2lnx=2519+2lnx=25
2 lnx= 25-192lnx=2519
2lnx=62lnx=6
----------------------->>>>> we applied simple side by side manipulations, now we will do the division by 2 in both the sides, it will end up this:
lnx=3lnx=3
--------------->>>>>> now we will use the inverse of ln, which is ee
e^(lnx)=e^3elnx=e3
x=e^3x=e3 ----->>> now you should use a calculator or the problem may have this as solution depending on the assignment guidelines.