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Using the properties of exponents and logarithms, find the value of x in 19 + 2 ln x = 25.

A. 0.05
B. 1.93
C. 3
D. 20.09

User Nash Worth
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2 Answers

5 votes

the correct answer is D 20.09

User Moulay
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5 votes

Answer: D. 20.09


Explanation:

Given equation:-
19+2\ln\ x=25

To solve it for x, first subtract 19 from both sides of the given equation, we get


2\ln\ x=25-19\\\Rightarrow2\ln\ x=6

Now, divide 2 from both the sides of the equation, we get


\ln\ x=3

Taking exponents on both the sides, we get


e^(\ln\ x)=e^3

We now that exponential function is inverse of logarithmic function.


\Rightarrow\ x=e^3\\\Rightarrow\ x=20.8553\approx20.09


User Quarkonia
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