Answer: D. 20.09
Step-by-step explanation:
Given equation:- [tex]19+2\ln\ x=25[/tex]
To solve it for x, first subtract 19 from both sides of the given equation, we get
[tex]2\ln\ x=25-19\\\Rightarrow2\ln\ x=6[/tex]
Now, divide 2 from both the sides of the equation, we get
[tex]\ln\ x=3[/tex]
Taking exponents on both the sides, we get
[tex]e^{\ln\ x}=e^3[/tex]
We now that exponential function is inverse of logarithmic function.
[tex]\Rightarrow\ x=e^3\\\Rightarrow\ x=20.8553\approx20.09[/tex]
